MATHEMATICS MIDDLE SCHOOL

Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without measuring the distance, explain how you could find the image of B.

Answers

Answer 1

Answer:

Answer:

see the explanation

Step-by-step explanation:

step 1

Find the scale factor of the dilation

Divide the x-coordinate or the y-coordinate of the image by the the x-coordinate or the y-coordinate of the pre-image

$(-6)/(-4)=1.5$

$(9)/(6)=1.5$

step 2

Multiply the coordinates of point B by the scale factor to obtain the image B'

B'(1.5*1,1.5*4)

B'(1.5,6)

Answer 2

Answer:

Answer:

To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).

Step-by-step explanation: its the sample response

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What quadrilateral has one pair of parallel sides?

Answers

Answer: Trapezoid

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides.

A parallelogram has two pairs of parallel sides

What greater than 1/3

Answers

I think the The answer 1/1 or1/2! If it is not correct then ask some one else

2/3 IS GREATER THAN 1/3 AND SO IS 3/3. SORRY ABOUT CAPS.

Find the third, fifth,and eleventh terms of the sequence described by the rule. A(n)=6+(n-7)(7)
A(3)= ?

Answers

Answer:

aₙ = 6 + (n - 1)*7

a₃ = 6 + (3 - 1)*7 = 20

a₅ = 6 + (5 - 1)*7 = 34

a₁₁ = 6 + (11 - 1)*7 = 76

How do you get the answer for 820 decreased by 25%

Answers

So in this one, we are DECREASING by 25%, so we say 25% of 820...

25% × 820 =
.25 × 820 = 205

Now since we are decreasing by 25%, we take our answer and subtract it from the original amount, 820.

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What is 118/13=59/x

Answers

X=13/2 is that answer or do you need it in a different way

ANYONE get this?? HElp if you can!!Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither. a) -2x + 16 + 5x = 9x + 20 - 6x - 4
b) 3x – 14 + 4x = 30 + 5x
c) 2x + 6 = -x + 10 + 3x – 4

Answers

Answer:

A) Any value of x makes the equation true. All real numbers Interval Notation: (−∞,∞)

B) Isolate the variable by dividing each side by factors that don't contain the variable. x = 22

C) Any value of x makes the equation true. All real numbers Interval Notation: ( −∞,∞)

A and C are identities and have infinite solutions, while B is neither, and has one solution.

Step-by-step explanation:

-2x+5x-9x+6x=20-4-16

-3x=0

x=0+3=3

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