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Lerok [7]
2 years ago
11

A polygon has vertices A(1,1), B(1, 4), C(4, 4). This figure is dilated by a factor of 3 and center of dilation (-1, 4). Find th

e coordinates of the polygon after dilation.
Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer:

Step-by-step explanation:

New coordinate = [old coordinate - dilation center]* scale factor + dilation center

So,

For A(1,1)

[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)

For B(1,4)

[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)

For C(4,4)

[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)

Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.

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Select the correct answer.
Sidana [21]

Answer:c

Step-by-step explanation:

when you set (x-6) and (x-1) to zero you get 6 and 1

8 0
2 years ago
5.40 is 9% of what price? Please show step by step
Rama09 [41]
p\%=\dfrac{p}{100}\\\\9\%=\dfrac{9}{100}=0.09\\\\9\%\ of\ x\ is\ 5.4\to0.09x=5.4\ \ \ \ |divide\ both\ sides\ by\ 0.09\\\\\boxed{x=60}
3 0
3 years ago
Which relation is a function?
zimovet [89]

Answer:

D

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3,  2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

​B. {(4, 2), (3, 3), (2,  4), (3, 2)}  

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1,  2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3,  2), (4, 1)}

This doe NOT repeat. Function.

6 0
2 years ago
Simplify.Your answer should contain only positive exponents.(x^3y^-2)-4
Galina-37 [17]
X^3(1/y^2)-4 is (x^3y^-2)-4 simplified with only positive exponents
8 0
3 years ago
During the first four months of the year, Jack earned $1270, $1150, $870 and $1450 If Jack must have an average salary of at lea
tia_tia [17]

Answer:

1010

Step-by-step explanation:

There are a whole class of questions that rely on the method to this one.

First add up what you know

1270 + 1150 + 870 + 1450 = 4740

Now add on the 5th month (which you don't know. Call it x)

4740 + x

Divide by 5

(4740 + x)/5 = 1150 and that is your equation    

Solution

Multiply both sides by 5

5*(4740 + x) / 5 = 1150 * 5

4740 + x = 5750

Subtract 4740 from both sides

4740 - 4740 + x = 5750 - 4740

x = 1010

Which seems kind of low, but that's what the numbers come to.

6 0
2 years ago
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