Answers
Answer:
For the first one, answer is dilation of 2
Step-by-step explanation:
you see the coordinates for triangle A'B'C' are all doubled the coordinates of triangle ABC
Related Questions
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answers
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
Learn more about polynomials here:
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If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answers
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
Right triangle ABC is located at A (-1,-2), B(-1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
Olx + 1)2 + y + 2)2 = 9
O(x + 1)2 + (y + 2)2 = 25
OOX - 3)2 + y - 12 = 16
Ox - 3)2 + (y - 142 = 25
Answers
Answer:
(x +1)^2 + (y +2)^2 = 25
Step-by-step explanation:
A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...
(AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2
(AC)^2 = 25
The center of the circle is at A(-1, -2), so the equation is ...
(x -h)^2 +(y -k)^2 = r^2
for the circle centered at (h, k) with radius r.
We know that the square of the radius (r^2) is 25, so we can write the equation as ...
(x +1)^2 +(y +2)^2 = 25
Answer:
(x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Hope this helps :)
Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 significance level to test the claim of cereal lobbyist that the mean sugar content for all cereals is less than .3 g. Data set: 0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
Answers
Answer:
Step-by-step explanation:
Hello!
X: content of sugar of a sample of cereal.
Data set:
0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
n= 16
[tex]\frac{}{X}[/tex]= 0.295g
S= 0.17g
You have to test if the mean sugar content is less than 0.3g
H₀: μ ≥ 0.3
H₁: μ < 0.3
α: 0.05
Assuming that the variable has a normal distribution, you have to conduct a t test:
[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]
[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]
p-value: 0.4533
The p-value is greater than α, the decision is to not reject the null hypothesis.
At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.
I hope this helps!
Can someone give me some help??
Answers
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
Help me with this I’m confused
Answers
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
use the graph to find the cost of 8 shirts
Answers
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
You can buy 5 cans for green beans at the village market for $2.80. You can buy 10 of the same cans of beans at Sam's club for $4.90. Which place is the better to buy
Answers
Answer:
The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.
Answer: Sam's club
Step-by-step explanation:
Because 10/2 = 5, at Sam's club you get twice the beans. Thus, simply multiply 2.8*2 = 5.60. Because $5.60>$4.90, the village market is the worse place to buy.
Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
Answers
Answer:
2
Step-by-step explanation:
|a+x|/2-|a-x|/2
Plug in the values.
|-2+-6|/2-|-2- -6|/2
Evaluate.
|-8|/2-|4|/2
Apply rule : |-a| = a
8/2 - 4/2
4 - 2
Subtract.
= 2
Hope this helped!
Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
PLEASE HELP ME!!!
Answers
===================================================
Explanation:
Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.
The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.
The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207
Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.
WILL MARK BRAINLEST
Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
Options:
An 80% increase followed by a 40% decrease
A 33 1/3% decrease followed by a 50% increase
A $25 increase followed by a $30 decrease
A 50% decrease followed by a 100% increase
A 20% increase followed by a 25% decrease
And they go into the categories that are...
Same as the original
Less than the original
And
Greater than original
Answers
Answer:
Let x be the original number. Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)
1)1.8*0.6x= 1.08x (greater than the original)
2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)
3)x+25-30 = x-5 (less than original)
4)0.5*2x=x (same as original)
5)1.2*.75x=.9x (less than original)
Hope it helps <3
Greater than the original.
Same as the original.
Less than the original.
Same as the original.
Less than the original.
Step-by-step explanation:To check all the scenarios, let's say that the original value is 100.
An 80% increase followed by a 40% decrease:
100 * (1 + 0.8) = 100 * 1.8 = 180.
180 * (1 - 0.4) = 180 * 0.6 = 108.
It is greater than the original.
A 33 1/3% decrease followed by a 50% increase:
100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.
66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.
It is the same as the original.
A $25 increase followed by a $30 decrease:
100 + 25 = 125.
125 - 30 = 95.
It is less than the original.
A 50% decrease followed by a 100% increase:
100 * (1 - 0.5) = 100 * 0.5 = 50.
50 * (1 + 1) = 50 * 2 = 100.
It is the same as the original.
A 20% increase followed by a 25% decrease:
100 * (1 + 0.2) = 100 * 1.2 = 120.
120 * (1 - 0.25) = 120 * 0.75 = 90.
It is less than the original.
Hope this helps!The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no
Answers
Answer:
no
Step-by-step explanation:
It is an equal lateral triangle, a right triangle has a side that is longer then the others
3-(x-3)=25 solve the equation
Answers
Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
Plz.. Help me.. True or false?
Answers
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex](p-q)^2[/tex]
[tex](p-q)(p-q)[/tex]
Use FOIL method.
[tex]p^2-pq-pq +q^2[/tex]
[tex]p^2-2pq +q^2[/tex]
The sports car travels along a straight road such
that its acceleration is described by the graph. Construct the
v-s graph for the same interval and specify the velocity of
the car when s = 10 m and s = 15 m.
Answers
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
for the interval 0-10 seconds,
a(t) = t m/s^2
v(0) = 0
v(t) = v(0) + integral(a(t)dt)
= 0 + [t^2/2]
= (1/2) t^2
s(0) = 0 .................. arbitrary
s(t) = s(0) + integral(v(t)dt)
= 0 + integral ((1/2)t^2)
= (1/6)t^3
When s(t) = 10 m,
(1/6)t^3 = 10
t^3 = 60
t_1 = 60 ^(1/3) = 3.9149 s approx.
v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s
When s = 15 m
(1/6)t^3 = 15
t^3 = 90
t_2 = 4.4814 s approx.
v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
I took the test and got it right
Please help if you are correct you get brainlyest
Answers
Answer:
did you already try A???
Answer:
Probability : [tex]\frac{5}{33}[/tex]
Step-by-step explanation:
The probability of drawing an orange on the first attempt would be 5 / 12, considering that in this first attempt their are 5 oranges present out of a total of 12 fruits. Now after that fruit is chosen their are 4 out of 11 oranges present, such that the probability of drawing an orange on the second attempt would be 4 / 11.
Probability of choosing an orange on the first try : [tex]5 / 12[/tex]
Probability of choosing an orange on the second try : [tex]4 / 11[/tex]
Probability of selecting two oranges in a row ( blindfolded ) : [tex]5 / 12 * 4 / 11[/tex]
[tex]\frac{5}{12}\cdot \frac{4}{11}[/tex] ( cross cancel common factor 4 )
[tex]\frac{5}{3}\cdot \frac{1}{11}[/tex] ( multiply fractions )
[tex]\frac{5\cdot \:1}{3\cdot \:11}[/tex] = [tex]\frac{5}{3\cdot \:11}[/tex] = [tex]\frac{5}{33}[/tex] - the probability of selecting two oranges in a row blindfolded, is [tex]\frac{5}{33}[/tex].
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
Helps is needed
Malita wants to prove that the interior angles of any triangle sum to 180°. She draws a
line through one vertex parallel to the opposite side, and then she labels all the angles
formed.
Drag a statement to match each reason in Malita's two-column proof in the table
below.
Answers
Answer:
See explanations and diagram attached.
Step-by-step explanation:
1. angle 4 = angle 3, and angle 5 = angle 2 alternate interior angles with red line parallel to side opposite angle 1
3. angle 1 + angle 4 + angle 5 = 180 because these angles lie on a straight line.
While standing in front of the school
Answers
Answer:
Step-by-step explanation:
what do u see!????????
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answers
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
John is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 7 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
(A) 5.5
(B) 5.8
(C) 6.0
(D) 6.3
(E) 6.5
Answers
Answer:
Average speed
= 5 5/6 mph , or
= 5.83 mph (to 2 decimals)
Step-by-step explanation:
Average speed is total distance divided by the total time it takes to cover the given distance.
Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.
Let
x = distance uphill, and also distance downhill.
Total distance = 2x miles
Total time = x/5 + x/7 hours = 12x/35 hours
Average speed
= total distance/total time
= 2x / (12x/35) mph
= 70x / 12x
= 5 5/6 mph
= 5.83 mph (to 2 decimals)
What you first want to do to find the average speed is add 5 miles and 7 miles together. You don’t need to convert the time because they both are in mph. Then you divide it by 2, getting the average of the trip up and down the mountain. If you need to find the average of something, use the mean formula.
work out the value of x and y in this diagram. All measurement are in centimeters
Answers
Answer:
X = 5
Y = 7
Step-by-step explanation:
First we will find x
4x + 2 = 3x + 7
x + 2 = + 7
x = 5
Next we will find y
2y + 9 = 4y - 5
-2y + 9 = -5
-2y = -14
y = 7
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answers
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
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Sandra y Roberto, cada uno de ellos con una copia del libro, deciden que ellos pueden ganar tiempo "leyendo en equipo" la novela. En este esquema, Sandra leerá desde la página 1 hasta una cierta página y Roberto leerá desde la página siguiente hasta la pagina 760. Cuando ellos hayan terminado cada uno contará la parte que leyó al otro. ¿Cuál es la última página que Sandra debería leer de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Answers
Answer:
La última página que Sandra deberá leer es la página 380.
Step-by-step explanation:
Sandra y Roberto tienen un libro de 760 páginas y se lo dividen, la pregunta es ¿Cuál es la última página que debería leer Sandra de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela?
Para que ambos pasen la misma cantidad de tiempo leyendo la novela, tendrían que dividirse el libro a la mitad, por lo que cada uno debería leer 760 ÷ 2 = 380 páginas.
Por lo que Sandra deberá leer de la página 1 a la 380 y Roberto leerá de la 381 a la 760.
Por lo tanto, la última página que Sandra deberá leer es la página 380.
Michael is on page 28 of a 315-page book. He must finish the book within the next 14 days. He solved the inequality 28+ 14p = 315 He did not use the correct value as the coefficient of p and should have solved 14 + 28p <= 315
Answers
Answer:
yes you're right it is 14 + 28p = 315
Answer:
C
Step-by-step explanation:
I had this question edge 2021
In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answers
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
These figures are similar the area of one is give. Find the area of the other
Answers
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?
Answers
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
Answer:
Hey there! The correct answer is A. Data set C.
---
What is standard deviation?Standard deviation is simply defined as the spread of a data set in relation to the mean of the data set. The standard deviation can be calculated with a formula as shown below.
[tex]\displaystyle \sigma = \sqrt{\frac{\Sigma(x_i-\mu)^2}{N}[/tex]
What does each variable stand for?Each variable has a significant meaning for this formula.
[tex]\sigma[/tex] - the standard deviation of the population[tex]\Sigma[/tex] - the summation of all values after the symbol[tex]x_i[/tex] - all data values in the set[tex]\mu[/tex] - the mean of the population[tex]N[/tex] - the number of data valuesWith this information, we can find the standard deviation of a data set.
What does standard deviation mean for a data set?Generally speaking, statisticians want a standard deviation that is on the lower end so that conclusions can be drawn about the data that was observed.
If a standard deviation is large, that means that most of the data is quite far from the mean and the data usually disproves a hypothesis. This is undesirable since the original hypothesis cannot be proven with this experiment.
When the standard deviation is quite low, this points to data that can be relied upon since it fulfills the initial requirement to prove the hypothesis.
Therefore, since the highest standard deviation correlates with the most spread out data, A. Data set C is the answer.
the length of each side of the ABCD EFGH cube is 6cm. If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE, determine the distance of point E to the PQR plane
Answers
Answer:
The distance is: [tex]\sqrt3\ cm\approx1,73\,cm[/tex]
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):
[tex]RQ^2=ER^2+EQ^2=3^2+3^2=2\cdot3^2\ \ \implies\ \ RQ=3\sqrt2[/tex]
Then: [tex]RN=\dfrac{RQ\,\sqrt3}2[/tex]
and: [tex]RK=\dfrac23RN=\dfrac{RQ\,\sqrt3}3=\dfrac{3\sqrt2\cdot\,\sqrt3}3=\sqrt6[/tex]
Therefore from Pythagorean theorem (for ΔERK):
[tex]EK^2+RK^2=ER^2\\\\EK^2=ER^2-RK^2\\\\EK^2=3^2-(\sqrt6)^2\\\\EK^2=9-6=3\\\\EK=\sqrt3\ cm\approx1,73\,cm[/tex]
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answers
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%