Mathematics College

. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.​

. Part A: Under A Dilation Of Scale Factor 3 Centered At The Origin, AB Becomes A'B'. Determine The Coordinates

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A.

Coordinates of A and B are,

A(-2, 2) and B(3, 2)

Rule for dilation of a point (x, y) by a scale factor k about the origin,

(x, y) → (kx, ky)

If the points A and B are dilated by a scale factor 3, image points will be,

A(-2, 2) → A'(-6, 6)

B(3, 2) → B'(9, 6)

Part B.

Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,

A(-2, 2) → D(-1, 1)

B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]

. Part A: Under A Dilation Of Scale Factor 3 Centered At The Origin, AB Becomes A'B'. Determine The Coordinates

Related Questions


What is the value of 3-(-2)?

Answers

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-(-2) is equal to +2, so the equation is 3+2 which is 5

8x-2 (6x + 4) simplify by using the distributive property

Answers

Answer:

48x^2+ 20x-8

Step-by-step explanation:

The answer is -4x -8.

Find the equation of the line. Use exact numbers.​

Answers

y = -2x + 5
hope this helps!
-2 + 5 i think so...

If {x) = 3x + 2, what is (5)?​

Answers

You mean f(x) = 3x+2 and what is f(5)?

f(5) = 3(5)+2

f(5) = 15+2

f(5) = 17

So f(5) = 17

need help somebody pleaseee

Answers

Answer:

The second one I believe

What is 1/3 of 4/5?

Answers

Answer:

0.26

is the answer

Match each equation with its graph

Answers

Answer:

The first graph would be y=5x+2

The second graph would be y=3x+3

The third graph would be y=2x+3

Step-by-step explanation:

First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.

Second Graph: x = -1.

y=3

The line in the graph goes through both.

Third Graph:  x = -1.5

y = 3

The line also goes through both.

Miranda found 4 pieces of an ancient ceramic bowl. What fraction of the bowl is missing

Answers

how I'm supposed to answer this

Answer:

we need the total pieces

Step-by-step explanation:

how many pieces of the ancient ceramic bowl are there

4 pieces out of what?

we need the total pieces

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

Answers

Answer:

See below

Step-by-step explanation:

[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]

Thus proved

find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1

Answers

Answer:

B) 38.7

Step-by-step explanation:

Answer:

A) 36.9

Step-by-step explanation:

took the test :)

Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (-4, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract:               [tex]m=\frac{-4}{-5}[/tex]Simplify:                        [tex]m=\frac{4}{5}[/tex]

answer 6, as quick as you can please​

Answers

9514 1404 393

Answer:

  0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

Which linear regression equation best fits the given points?

(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)

yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9

Answers

Answer:

Here you go! Hope I am not to late..

Step-by-step explanation:

I took the test.

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.

A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.

Is this a valid conclusion?

Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.

Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.

No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.

Answers

Answer:

C

Step-by-step explanation:

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.

Given that,
A statement is given we have to justify which among the option is the correct reason.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.

Thus, Option C is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2

Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?

Answers

I’m guessing 3 miles. You would have to cross multiply and solve for x, miles. I hope this is right.

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23

help me please......... ​

Answers

Answer:

1. true 2. true 3.true 4. false 5. false

Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4

In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.

Answers

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD=  CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.=

Solve this 2 step equation 3x-7=20

Answers

Answer:

x=9 if thats what your asking

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3x-7=20

3x=20+7

3x=27

X=27/3

X=9

So the value of X is 9

plzzzzzzzz hurry thnx

Answers

Answer:

0.5, 50%

Step-by-step explanation:

Answer:

1/2 a pound = 0.5 of a pound1/2 a pound = 50% of a pound

I hope this helps!

Which angles are alternate interior angles explain

Answers

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

What is the slope of the line?

Answers

The slope would be 1.75 I used desmos to get this answer but you can also use the formula. The y intercept is -1.25 if you need that later on.

Answer:

slope = 7/4

Step-by-step explanation:

slope is found by figuring the change in y-values over the change in x-values.  Look for points on the line that go through an intersection of the graph lines exactly.  I found the points (3, 4) and (-1, -3)

difference of y/difference of x = 4-(-3) / 3-(-1)   =  7/4

Please Help me. And show your work

Answers

Answer:

30 girls, 20 boys

Step-by-step explanation:

in the tape diagram, we see a ration of 3:2 girls:boys

To solve, make it an equation`

3x+2x=50

5x=50

x=10

Then you multiply by 3 and 2 to get 30 and 20

Answer:

20:30

Step-by-step explanation:

50 divided into five is ten. There are exactly five boxes that make up ten kids for each box. There boxes are 30 kids in three boxes while two boxes are 20 kids and if you put all of that together it makes a total of 50 kids.

Solve for www. -4(w+1) = -24

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-4w-4=-24

-4w=-24+4

-4w=-20 to find w divide both side by -4

-4w/-4 =-20/-4

w=5

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)

Answers

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

someone helppp please!!

Answers

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
(blank) feet.

Answers

Answer:

There is descending of 8260 feet in altitude for all 4 balloons.

17.9%of what number is 14.857

Answers

Answer:

83.100559

Step-by-step explanation:

0.179x=14.857

x=14.857/0.179

x=83.100559

The answer will be 2.6594

Anybody know the answer to this ?

Answers

it’s 5.8 hope this helps

Answer:

13.08 United States Dollars

Other Questions
HELPPP :(Max is mountain hiking at a constant rate. This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.Which statement best describes Max's elevation, given this equation?Max started at a height of 10 meters and is ascending at 30 meters per hour.Max started at a height of 10 meters and is descending at 30 meters per hour.Max started at a height of 30 meters and is ascending at 10 meters per hour.Max started at a height of 30 meters and is descending at 10 meters per hour.(If you dont know the answer, please dont spam : i need help i need ideas. Basically, you Create a story to teach class of 2024 and 2025 how to be good students. but its an Extra Credit Opportunity - Student Fable assignment.i cant think of any ideas question in pic. please help! Write the inequality graphed below. Use "x" as your variable 5/8 divided by 1 and 1/3? do you think the government should help businesses like SJD? justify your answer How did power appear in Popular Culture? Why? Brainliest to right answer. Logically justify that an individual is essentially a biologicalcreature. Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent (04.01 LC)The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are- 4). (5 points) Draw conclusion: The density of water is 1.0 g/mL, or 1.0 g/cm. Look at the data in your table. How can you use the density of an object to predict whether it will sink or float? (Data is above)PLEASE HELP A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth. Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year? Given m||n, find the value of x. What value of b will cause the system to have aninfinite number of solutions?6y = 6x-b+3x+12y=-3-3x + y = -3b = PLEASE NEED HELP URGENTLY!Raul tried to find the midpoint between 5 & 3i and 12 + 7i. Check his work below.Sum=(5+(-3))+(12+7)i=2+19i so the midpoint is 1+ 19over2 iWhat mistake did Raul make?AHe subtracted the values instead of adding them.BHe did not add the corresponding parts of the complex numbers.CHe found the sum instead of the average because he forgot to divide by two.DHe added the numbers in the wrong order. For Spanish language or whatever1. What part of speech does an adjective describe? 2. What parts of speech are described by adverbs? The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation. How do doctors use hemoglobin levels to decidewhether or not someone was blood doping? PLEASE HELP ME!