Answer:
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
Step-by-step explanation:
Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.
In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be [tex]\frac{1}{4}[/tex]. Then the equation of the perpendicular line will be:
[tex]y=\frac{1}{4}* x+b[/tex]
To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:
[tex]3=\frac{1}{4}* (-2)+b[/tex]
Solving, you get:
[tex]3=-\frac{1}{2}+b[/tex]
[tex]3+\frac{1}{2}=b[/tex]
[tex]\frac{7}{2}=b[/tex]
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution
Answer:
C. the equation has one extraneous solutionStep-by-step explanation:
Given equation:
x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2
Multiply both sides by x² + x - 2:
x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2There is one solution but it is not true one.
Option C is correct
Answer:
[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]
x =-2 is the right answer.C. the equation has one extraneous solution.
1/3 + 4 × 2/3 + (-12) ÷ 4
This graph shows the solution to which inequality?
Answer:
The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2 ⇒ D
Step-by-step explanation:
In the inequality,
If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid lineIf the sign of inequality is < or >, then the line that represents it must be a dashed lineIf the sign of inequality is > or ≥, then the shaded area must be over the lineIf the sign of inequality is < or ≤, then the shaded area must be under the lineFrom the given graph
∵ The slope of the line = [tex]\frac{2--6}{3--3}[/tex] = [tex]\frac{2+6}{3+3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
∵ The y-intercept is (0, -2)
∵ The line is dashed and the shaded area is over the line
→ By using the 2nd and 3rd notes above, the line is dashed and
the sign of inequality is >
∴ The inequality is y > [tex]\frac{4}{3}[/tex] x - 2
∴ The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2
Solve for x using the
distributive property.
2(x - 5) = 10
Answer:
x=10
Step-by-step explanation:
2x-10=10
2x=20
x=10
Answer:
x=10
Step-by-step explanation:
2(x - 5) = 10
You would first multiply 2 by x and 5
2x-10 = 10
then you would add ten to both sides
2= 20
then you would divide 2 by 20
x=10
Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?
Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.
Step-by-step explanation:
It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.
So, we start by plugging in -20 for y and 5 for x.
y > -2x-3
-20 > (-2)(5) - 3
-20 > -10-3
-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.
y ≤ 3x + 2
-20 ≤ 3(5) + 2
-20 ≤ 15 +2
-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.
-
First, rewrite
13 9
and
30 20
so that they have a common denominator.
13 9
Then, use <, =, or > to order and
30 20
13
9
<
D>
30
20
Х
?
13
9
30
20
Answer:
18/14=64+7%×r try it out
The values shows 13/30 < 9/20.
What is fraction?Fractions are the components of a collection or whole. Two parts make up a fraction. The numerator is the number at the top of the line. It indicates the number of equal portions taken from the collection or whole. The term "denominator" refers to the number below the line. It indicates the total number of identical parts that make up a collection or the total number of parts that make up the whole.
The number of parts we take is a fraction when the whole is divided into equal parts.
Given 13/30 and 9/20
to make the common denominator,
multiply by 20 in numerator and denominator of 13/30
(13 x 20)/(20 x 30) = 260/600
multiply by 30 in numerator and denominator of 9/20
(9 x 30)/(20 x 30) = 270/600
the terms with same denominator are
260/600 and 270/600
as we can see that 270/600 > 260/600
so 13/30 < 9/20.
Hence 13/30 is less than 9/20.
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how do you find the area of this problem
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
Angie read 60 pages of a textbook in 2 hours. She turned on the TV and read 24 pages in 1 hour. Angie’s average reading rate with the TV on, is what percent of her average rate with the TV off? A. 75% B. 80% C. 85% D. 90%
Answer:
80%
Step by step explanation:
Hello! So Angie reads 60 pages in 2 hours, without the TV on. 60/2 is 30. She reads 30 pages an hour without the TV on, and 24 pages with the TV off. To find the percent of her reading rate with the TV on instead of off, we can just divide both of the reading rates. 24/30 is 0.8. Multiply that by 100 and you get 80% in percent form. There. Angie's reading rate with the TV on is 80% of her reading rate with the TV off. The answer is B: 80%.
Answer:
The answer is B.) 80%
explanation:
I took a quiz and according to that its correct
PLS HELP I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
In the following lattice bridge, AABC - AECD. The ratio of the
lengths of the corresponding sides in AABC to AECD is 3:4. If
AB=9 meters, what is EC?
- A) 6 m
- B) 9 m
- C) 12 m
- D) 15 m
Answer:
C or D
dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c
Algebra 2 2.11 system of Linear inequalities
Answer:
Constraints;
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Step-by-step explanation:
T- Technology stock
F - food stocks
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Now one has to use linear programming to solve this problem.
If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?
Answer:
(5, -11)
Step-by-step explanation:
We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.
If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
The table below shows the approximate percent of students who sent applications to two colleges in various years since 1985.
A regression equation for this line is y = -0.42x 19.26
What does the slope and y-intercept indicate?
a. The slope indicates that the percentage in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year.
b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%
c. The slope indicates that the percent has remained the same each year. The y-intercept indicate the percent in 1985 should have been 22%
d. There is not enough information to determine what the slope and y-intercept indicate.
Answer: b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%
Step-by-step explanation:
The slope of straight line indicates the rate of change and in a regression equation is the m in: y = mx + c
In the regression equation of y = -0.42 + 19.26, the slope is -0.42 indicating that the rate of change has been -0.42% which means that the percent is falling at about 0.42% per year.
The y intercept (c) measures the rate at the origin and in this equation is 19.26. As the origin of the line is 1985, this means that the percent in 1985 should have been about 19%.
Answer:
B.
Step-by-step explanation:
Simplify.
(+18)%(-6)
Answer: -3
Step-by-step explanation:
18/6 = 3
18/-6 = -3
PLS Help! This is DUE! 50 Points
[tex]log_{6}(2x-7)=4[/tex]
Answer: x = 651.5
Step-by-step explanation:
First, we can re-write the equation as = 2x - 7.
Now, we simplify 6^4 = 1296.
1296 = 2x - 7
1303 = 2x
x = 651.5
Please need thank you
Answer:
Wouldnt it be 10
Step-by-step explanation:
what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)
Answer:
o,1
Step-by-step explanation:
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean.
d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie wire was used?
Help me
9514 1404 393
Answer:
500 ft or 166 2/3 yards
Step-by-step explanation:
The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...
(1000 yd)/6 = 166 2/3 yd = 500 ft
Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).
Answer:
y = 5x - 7
Step-by-step explanation:
Which of the following is a true statement?
A. -3 < -4
B. 9 < -9
C. -6 < -2
D. 0 < -1
Answer:
C is true because when it comes to negative numbers, the closer it is to 0 the higher the value of the number is
5/32 × 64y/100 please help :,)
Answer:
The answer is 1/10y
Given that P(x)=x^5-8x^3-x^2+2, what is the remainder when it is divided by x-5?
Answer:
2102
Step-by-step explanation:
The polynomial function P(x)=x^5-8x^3-x^2+2, if it is divided by x-5, first we need to get x from the divisor as shown
since d(x) = x-5
x-5 = 0
x = 5
Substitute x = 5 into the expression to get the remainder
P(x)=x^5-8x^3-x^2+2
P(5)=(5)^5-8(5)^3-(5)^2+2
P(5) = 3125-1000-25+2
p(5) = 2100+2
P(5) = 2102
Hence the remainder is 2102
hirokis goal is to collect $40 for a school fundraiser
Answer:
is there more?
Step-by-step explanation:
Answer:
40-26.50=m
Step-by-step explanation:
Cause im doing it right now and i got it right
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A: What was the price of the flowers in September? Part B: The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Did they earn more money in September or October? How much more?
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.
A small bucket holds 2 gallons of water. About how many liters does it hold?
Gallons of water Liters of Water
5 19
1
2
7.6
plz answer quickly
Answer:
7.6
Step-by-step explanation:
19/5 = 3.8
So,
3.8 x the amount of gallons = the amount of litres
If we have 2 gallons, then,
3.8 x 2 = 7.6
Answer:
7.6
Step-by-step explanation:
Add it
(2a^-2)(3a^3b^2)(c^-2)
Answer:
Step-by-step explanation:
find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.
Answer:
0.40 the actual answer is 3.20 but you said round so
Step-by-step explanation:
Answer:
0.38 is the answer for me
Step-by-step explanation:
What is the slope of the line through -2, one and two, -5 in the center of X, Y coordinate plane
Answer:
m = -3/2
Step-by-step explanation:
Points: (-2,1) and (2,-5)
Slope is change in y over change in x,
(-5-1)/(2-(-2)) = -6/4 = -3/2
Hope this helps!
PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST
Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.
___ + (plus) ___ + (plus) ___
m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15
fill in the three blanks using three of those answers please!!
Answer:
m + (m + 15) + (m + 2)
Step-by-step explanation:
Even thought we don't know the value of m, we can use expressions to represent it.
Hope this helps.
The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
Let's represent Marla drove "m" miles.
Since Lawrence drove 15 more miles than Marla.
So, this means the expression m + 15
Then Jerry drove 2 more miles than Marla.
So, this means the expression m + 2
Now, the total number of miles = m + (m + 15) + (m + 2)
This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.
Learn more about the algebraic expression here :
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