Answers
Answer:
Step-by-step explanation:
The second question is 9n^2 + 42n + 49.
The third question is -3x^2 + 14x - 14.
The fourth question is (x + 8)(x + 3),
(x + 8)(x - 3), (x - 8)(x + 3), (x - 8)(x - 3)
Related Questions
Imagine that an exchange student from China visits your class. While your teacher discusses how the United States has a limited government, the Chinese student raises his hand and asks why the government has limited power. Which point best highlights why the US government has limited power? A. A limited government means citizens pay fewer taxes. B. A limited government helps people avoid breaking the law. C. A limited government protects individual freedoms. D. A limited government prevents businesses from being too powerful.
Answers
Answer:
C. A limited government protects individual freedoms.
Step-by-step explanation:
There are more individual freedoms as opposed to the lifestyle of those who are under a monarchy
Terrell is a dog trainer. He charges $75 for each training session plus $1.45 per mile that he must drive to and from the session. Write an expression to represent this situation. Explain your answer.
(in the expression let x represent the number of miles.)
Answers
The expression 75 + 1.45x represents the total cost of a training session with Terrell
The expression to represent this situationLet x be the distance (in miles) that Terrell must drive to and from the training session.
Then the total cost C of the training session, in dollars, can be expressed as:
C = 75 + 1.45x
The first term, 75, represents the base fee that Terrell charges for each training session. The second term, 1.45x, represents the additional cost that Terrell incurs due to the distance he has to drive. This second term is calculated by multiplying the distance x by the rate of $1.45 per mile.Therefore, the expression 75 + 1.45x represents the total cost of a training session with Terrell, including both the base fee and the additional cost for driving.
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The image shows a circular pizza cutter that has a diameter of 8 centimeters
Answers
The pizza would be covered by approximately 100.48 centimeters of the pizza cutter if it is rotated exactly 4 times.
Calculating the cover of the pizzaThe circumference of a circle can be calculated using the formula:
circumference = π x diameter
where π is approximately equal to 3.14.
Given that the diameter of the pizza cutter is 8 centimeters, we can calculate its circumference as:
circumference = π x diameter
circumference = 3.14 x 8
circumference = 25.12 centimeters
If the pizza cutter is rotated exactly 4 times, it will cover a distance equal to 4 times its circumference:
distance covered = 4 x circumference
distance covered = 4 x 25.12
distance covered = 100.48 centimeters
Therefore, approximately 100.48 centimeters of the pizza would be covered by the pizza cutter if it is rotated exactly 4 times.
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Complete question
The image shows a circular pizza cutter that has a diameter of 8 centimeters. Approximately how many centimeters would the pizza cutter cover if it is rotated exactly 4 times
if the area of a circle is less than $60\pi$ square inches, what is the greatest possible integer value in inches of the radius of the circle?
Answers
The greatest possible integer value of the radius of the circle is 7 inches.
The area of a circle is given by the equation[tex]$A = \pi r^2$[/tex]. We know that the area is less than [tex]$60\pi$[/tex] square inches, so the equation can be written as [tex]$60\pi > \pi r^2$[/tex]. We can solve for the radius by dividing both sides by [tex]$\pi$[/tex], which gives us [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex], which is approximately 7.74 inches. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.
To explain this further, we can start with the equation for the area of a circle, which is[tex]$A = \pi r^2$[/tex]. Since the area is less than [tex]$60\pi$[/tex]square inches, this equation can be rewritten as[tex]$60\pi > \pi r^2$[/tex]. We can then divide both sides by [tex]$\pi$[/tex] to get [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex]. This result can then be rounded down to the nearest integer, which is 7. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.
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At a school of 550 children 80% walk to school
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If at a school of 550 children 80% walk to school, the 110 children come to school by other means.
If 80% of the children walk to school, then the remaining 20% of children must arrive at school by other means (such as being driven by a parent, taking public transportation, etc.).
To find out how many children come to school by other means, we can use the following formula:
Number of children who come to school by other means = Total number of children x Percentage who don't walk to school
In this case, we have:
Number of children who come to school by other means = 550 x 20% = 110
Therefore, 110 children come to school by other means.
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The given question is incomplete, the complete question is:
At a school of 550 children 80% walk to school, how many comes in other way ?
Help open up a jewelry store, Tom borrowed money from an online lending company He took out a personal, amortized loan for 44,000, at an interest rate of 6. 25\% with monthly payments for a term of 7 years For each part, do not round any intermediate computations and round your final answers to the nearest cent necessary, refer to the list of financial formulas (a) Find Tom's monthly payment (b) Tom pays the monthly payment each month for the full term , his total amount to repay the () Tom pays the monthly payment each month for the full termfind the total amount of interest he will pay
Answers
Tom will pay a total of $13,424.20 in interest over the term of the loan.
The formula to calculate the monthly payment for an amortized loan is given by: `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.
Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.
Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.
Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20
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what can be said about the coefficients of the polynomial obtained by multiplying out when both and are odd integers? when both and are even integers? when one of and is even and the other is odd?
Answers
Odd coefficients of the polynomial are obtained by multiplying both odd integers.
Even coefficients of the polynomial are obtained by multiplying both even integers.
Even and odd coefficients of the polynomial are obtained by multiplying both odd integers.
Lets take two integer m and n,
If both 'm' and 'n' are odd integers, then the coefficients of the polynomial obtained by multiplying out will be odd.
If both 'm' and 'n' are even integers, then the coefficients of the polynomial obtained by multiplying out will be even.
If one of 'm' and 'n' is even and the other is odd, then the coefficients of the polynomial obtained by multiplying out will be even and odd.
There are no other cases.
The general form of the polynomial obtained by multiplying out a binomial is:
[tex](a+b)^n = nC_0a^n + nC_1a^{(n-1)}b + nC_2a^{(n-2)}b^2 + .....+ nC_n-1ab^{(n-1)} + nC_nb^n[/tex]
where [tex]nC_k[/tex] is a binomial coefficient.
In general, for a polynomial [tex](a+b)^n[/tex], the coefficient of the term of degree k is [tex]nC_k[/tex].
The binomial coefficients are defined as: [tex]nC_k = n! / (k!\times(n-k)!)[/tex]
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If the limit as n goes to infinity of the quotient of the absolute value of the quantity a sub n plus 1 times the n plus 1 power of the quantity x minus 7 and the absolute value of the product of a sub n and the nth power of x minus 7 for the power series the summation from n equals 1 to infinity of a sub n times the nth power of the quantity x minus 7, then what is the interval over which the power series converges absolutely? You do not need to consider the endpoints.
Answers
In conclusion, the power series converges absolutely over an interval given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex]is a natural number.
The interval over which the power series converges absolutely is given by [tex]\left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n\in\mathbb{N}\;\;\;\text{and}\;\;\;n>N, where N\in\mathbb{N}[/tex] is a natural number.
In other words, for any given N, the series will converge absolutely over the interval \left|x-7\right|>\frac{\left|a_n+1\right|}{\left|a_n\right|}\;\;\;\forall\;\;\;n>N.
This means that the series will converge absolutely over a larger interval as N increases, since the terms \frac{\left|a_n+1\right|}{\left|a_n\right|} get closer to 1 for larger values of n.
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PLEASE HELP THIS IS DUE TODAY
Answers
Answer:
13 - The first option
11 - (x+1)
16 - first option
Step-by-step explanation:
If you have 4 purple marbles and 8 yellow marbles in a bag. What is the probability of getting a purple marble
Answers
You have a 4/12 probability.
4. CENTERS Neil wants to find the center of a large
circle. He draws what he thinks is a diameter of the
circle and then marks its midpoint and declares that
he has found the center. His teacher asks Neil how
he knows that the line he drew is the diameter of the
circle and not a smaller chord. Neil realizes that he
does not know for sure. What can Neil do to
determine if it is an actual diameter.
Answers
To check if the line drawn is diameter it should be intersected at centre and it must be equidistant from the centre of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
To determine if the line Neil drew is an actual diameter of the circle and not just a smaller chord, he can use the following method -
Extend the line on both sides to create two lines that intersect at a point outside the circle.
Use a compass to draw a circle with the same center as the original circle, and with a radius that is greater than half the length of the line Neil drew.
Check if the two lines intersect the circle at two points that are equidistant from the center of the circle.
If they do, then the line Neil drew is an actual diameter of the circle.
If they do not, then the line Neil drew is just a chord.
This method works because a diameter of a circle is the longest chord that passes through the center of the circle.
By extending the line Neil drew and creating two lines that intersect outside the circle, we can compare the distance from the center of the circle to each of the two intersection points with the radius of the circle we drew.
If the distances are equal, then the line Neil drew must be a diameter of the circle.
Therefore, the method to find the actual diameter is explained.
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the time to fly between new york city and chicago is uniformly distributed with a minimum of 50 minutes and a maximum of 100 minutes. what is the probability that a flight is less than 64 minutes
Answers
The probability that a flight between New York City and Chicago is less than 64 minutes is 0.28, or 28%.
Since the time to fly between New York City and Chicago is uniformly distributed between 50 and 100 minutes, we can use the formula for the uniform probability density function (PDF) to find the probability that a flight is less than 64 minutes:
f(x) = 1 / (b - a), for a ≤ x ≤ b
where a = 50 and b = 100 are the minimum and maximum times, respectively.
To find the probability that a flight is less than 64 minutes, we need to integrate the PDF from a to 64:
P(X < 64) = [tex]\int\limits^{64}_{50}[/tex] f(x) dx = [tex]\int\limits^{64}_{50}\\[/tex](1 / 50) dx = (1 / 50) * [x]|₅₀ ⁶⁴
= (1 / 50) * (64 - 50) = 0.28
This means that approximately 28% of flights will arrive in less than 64 minutes.
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in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?
Answers
In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.
In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.
The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:
When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:
South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.
When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.
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consider the following table. what is the probability of red? red blue total yes 15 21 36 no 38 13 51 total 53 34 87 g
Answers
The probability of red is 0.1724, given the following table.
The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.
The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.
The probability of Red can be calculated using the formula;
P(Red) = (Frequency of Red) / (Total Frequency)
Using the values provided in the table
,P(Red) = 15/87P(Red) = 0.1724
Hence, the probability of red is 0.1724.
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each of the letters of the word colorado are written on a piece of paper and then put into a bag. a piece of paper is drawn at random. what is the theoretical probability of not drawing an o?
Answers
The theoretical probability of not drawing an "o" is 3/4.
We have,
Each of the letters of the word Colorado are written on a piece of paper and then put into a bag.
Here, The word "Colorado" has 8 letters, including 2 "o"s.
Therefore, the probability of drawing an "o" is,
P = 2/8
P = 1/4
Hence, The probability of not drawing an "o" is the complement of this probability is,
1 - 1/4 = 3/4.
Therefore, the theoretical probability of not drawing an "o" is 3/4.
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A total of 646 tickets were sold for the school play. They were either adult tickets or student tickets. There were 54 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
64 im pretty cxsure
Step-by-step explanation:
Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. If she spends 3x-7 dollars on rent, how much does she spend on electricity? Use pencil and paper. For which
value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s)
She spends
(Simplify your answer.)
dollars on electricity.
Answers
The values of x is [tex]x < 39.5[/tex].
Given that the shopkeeper spends on rent and electricity is [tex]= 5x+14[/tex]
Spending of shopkeeper on rent [tex]= 3x-7[/tex]
So shopkeeper spends on electricity [tex]= (5x+14) - (3x-7) = 2x+21[/tex]
Given that amount the shopkeeper spends on electricity less than 100.
So suitable inequality,
[tex]2x+21 < 100[/tex]
[tex]2x < 100-21[/tex]
[tex]2x < 79[/tex]
[tex]x < 39.5[/tex]
All the values of [tex]x < 39.5[/tex].
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ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
? Round to the nearest hundredth. Enter your answer in the box.
Answers
Answer:9.22
Step-by-step explanation:
You dont need the left side of this triangle to figure out the answer. You can use the fact that the remaining side to find is of a right triangle and use pythagorean theorem to solve.
Since 11 is the hypotenuse, and the pythagorean theorem states that a^2 +b^2 = c^2, the hypotenuse being c, you can reverse the equation like this:
11^2-6^2=rt^2
if you plug this in, you get that rt is exactly equal to 9.21954445729
Since you asked for it rounded to the nearest hundredth, you can round it to 9.22
A rectangle has an area of 15 square yards. The width is 2 yards less than the length. What is the length, in yards, of the rectangle?
A: 2 yards
B: 3 yards
C: 5 yards
D: 15 yards
Answers
Answer:
The correct answer would be option (A).
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
length = x
Width=x-2
Area=lw
15=(x)(x-2)
15=x^2-2x
0=x^2-2x-15
Quadratic formula:
X=-15
X=5
the length is 5 because the length can’t be negative
if the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?
Answers
When the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction is four times the value of the numerator
The denominator of a certain fraction is a number that divides the numerator to produce a fraction. The fraction has two parts, the numerator, and the denominator. The numerator is the top part of a fraction, and the denominator is the bottom part of the fraction. When the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction can be calculated using a mathematical formula.
The mathematical formula for calculating the value of the denominator of a certain fraction is to divide the numerator by the quarter. This is because the numerator is a quarter of the value of the whole fraction. Therefore, the formula is represented as:D = N/1/4where D is the denominator, and N is the numerator of the fraction.To solve for D, we multiply both sides by the reciprocal of the fraction:1/4 = 4/1, so we have:D = N x 4/1D = 4N/
Therefore, the value of the denominator of the fraction is four times the value of the numerator. If the numerator of the fraction is 2, then the denominator of the fraction is 8. In summary, when the numerator of a certain fraction is a quarter of the value of the whole fraction, the value of the denominator of that fraction is four times the value of the numerator.
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which of the following is a longitudinal study? researchers test the intelligence of all the students in a high school. intelligence tests are given to the residents of a nursing home. researchers randomly select 50 students from a high school with 2000 students. the 50 students are given intelligence tests. a group of college juniors is given an extensive battery of tests over a period of 2 days. a group of kindergartners is given an intelligence test. they are retested every other year for 30 years.
Answers
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
what is probability ?It is a numerical value that runs from 0 to 1, with 0 denoting the impossibility of an event and 1 denoting its certainty. The probability of an event A is expressed mathematically as P(A), where P(A) is the number of possible ways that event A could happen divided by the total number of outcomes.
given
The final choice is the long-term study: "An intelligence test is given to a class of kindergarteners. During 30 years, they are retested every other year."
In a longitudinal study, a group of individuals are followed over a lengthy period of time, frequently years or even decades. A longitudinal study's goal is to look at how people change or grow over time and to pinpoint any potential contributing elements.
Only the final option, which is typical of a longitudinal study, calls for retesting the same set of individuals over a lengthy period of time.
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The directions and example is in the photo, I really need help with this stuff
Answers
The height of the BD for the house using Pythagorean theorem is obtained as: 4.23 m.
Explain about the Pythagorean theorem?According to the Pythagorean Theorem, for any triangle which is a right triangle, the squares of the legs added together equal the square of the hypotenuse.
In the given triangle ABC.
AB = BC = 6 cm
So, ∠A = ∠C (by isosceles triangle)
Then, AD = DC = 8.5/2
So, in right angles triangle ABD, applying Pythagorean theorem:
AB² = AD² + BD²
6² = (8.5/2)² + BD²
36 - 18.0625 = BD²
BD = √17.9375
BD = 4.23
Thus, the height of the BD for the house using Pythagorean theorem is obtained as: 4.23 m.
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7. Write the unknown value that makes this
statement true:
25% of is 10
Answers
Answer: 40
Step-by-step explanation:
25/100 x ? = 10
multiply both sides by 100/25
x= 10 x 100/25
x=10
in how many ways can first, second, and third prizes be awarded in a contest with 170 contestants? your answer is
Answers
There are 4,826,640 possible ways to award first, second, and third prizes in a contest with 170 contestants.
To calculate this, use the formula nP3, where n is the number of contestants (170) and P3 represents the permutation of 3 elements. This can be simplified to P(170, 3) = 170! / (170 - 3)! = 170 x 169 x 168 = 4,826,640.
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the two figures shown are made of unit squares. what is the positive difference of the perimeters, in units?
Answers
The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.
Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.
1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is: 8+4+4+4+4=24 units.
2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.
The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.
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on a control chart, what separates common from assignable causes of variation? a. specification limits b. mean divided by standard deviation c. control limits d. production limits e. x-bar lines
Answers
On a control chart, Control limits separates common from assignable causes of variation option C.
Shewhart charts, after Walter A. Shewhart, are another name for control charts. It is a statistical process control tool that aids in tracking process advancements over time. For instance, hospital management decides to utilise a solution technique in order to shorten the time required to admit a patient.
The process flow diagram for how patients are admitted to the hospital is first created. The average amount of time it takes to admit a patient each day is then measured. Lastly, plot the process variables across time on a control chart.
This control chart's goals are to identify any "special" reasons of variation as well as to document any process improvements.
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Use the traditional method to test the given hypothesis. Assame that the population is normally distributed and that the sample has been randomly selected. Select the appropriate response.In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926. Select the correct test statistic and critical value.
Test statistic: x^2 = 25.691. Critical values: x^2= 38.932.
Test statistic: x^2= 42.620. Critical values: x^2= 43.978
Test statistic: x^2 = 21.087. Critical values: x^2= 29.806.
Test statistic: x^2= 42.620. Critical values: x^2=38.932.
Answers
The test statistic: X² = 42.620, Critical values: X²=38.932.
What are critical values?
A critical value is one that can be used to compare the test statistic to determine if the null hypothesis can be rejected or not.
Here, we have
Given: In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926.
s = 926, n = 22
The null and alternative hypotheses:
H₀ : σ = 650; H₁ : σ > 650
Test statistic:
X² = (n-1)s²/σ²
X² = (22-1)926²/650²
x = 42.62
Critical values:
X² = X²a(n-1)
X² = X²(0.01)(21)
X² = 38.932.
Hence, the test statistic: X² = 42.620, Critical values: X²=38.932.
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Six less than a number k
Answers
Answer:
k - 6
Step-by-step explanation:
I'm not sure if this is a mistake or not, or if you pressed enter a little too early, but for example:
let k = 16
6 [the number provided] less than 16 [k] is not 6 - 16, as that would be 16 less than 6. You can read the math problem from right to left, and 16 - 6 would read out as "six less than sixteen".
Honestly, you don't really need this, and it isn't a good way to do it, there are many better ways.
Solve for X.
x² + 4x + 4 = 8
Answers
Step-by-step explanation:
We can also solve the equation x² + 4x + 4 = 8 by rearranging the terms and using the quadratic formula:
x² + 4x + 4 - 8 = 0
x² + 4x - 4 = 0
Applying the quadratic formula, we have:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = 4, and c = -4. Substituting these values, we get:
x = (-4 ± √(4² - 4(1)(-4))) / 2(1)
x = (-4 ± √32) / 2
Simplifying the square root of 32, we get:
x = (-4 ± 4√2) / 2
x = -2 ± 2√2
Therefore, the solutions to the equation x² + 4x + 4 = 8 are x = -2 + 2√2 and x = -2 - 2√2.
Find the supplementary angles formed by the line y=3x-5 and the line 4x-3y=1
Answers
= 55.3 degrees
Step-by-step explanation:
To find the supplementary angles formed by two lines, we need to find the angles formed by each line and then subtract the sum of those angles from 180 degrees.
Let's begin by finding the slope of each line. The first line y=3x-5 is in slope-intercept form,
where the slope is the coefficient of x, which is 3.
The second line 4x-3y=1 can be rearranged to slope-intercept form by solving for y:
4x - 3y = 1
-3y = -4x + 1
y = (4/3)x - 1/3
The slope of the second line is 4/3.
Next, we can find the angle formed by each line with the x-axis using the formula:
angle = arctan(slope)
where arctan is the inverse tangent function. We can use a calculator to find the angle in degrees.
For the first line, angle = arctan(3) ≈ 71.57 degrees.
For the second line, angle = arctan(4/3) ≈ 53.13 degrees.
To find the supplementary angles, we subtract the sum of these angles from 180 degrees:
supplementary angle = 180 - (71.57 + 53.13) = 55.3 degrees.
Therefore, the supplementary angles formed by the line y=3x-5 and the line 4x-3y=1 are 55.3 degrees.