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marysya [2.9K]
3 years ago
10

The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0
The point (-4, 7) is in the 2nd quadrant. The coordinate of the preimage of a -90 degrees rotation that resulted to point (-4, 7) will be in the third quadrant. (i.e. both x and y is negative). Hence, answer is (-7, -4).
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Find two numbers whose sum is -2 and whose product is -63
djverab [1.8K]
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explanation:
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3 0
3 years ago
In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.
creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

so

BP=\frac{1}{2}AC

DP=BP

step 1

Find the value of x

BP=\frac{1}{2}AC

substitute the given values

(-9x+19)=\frac{1}{2} (-x+21)

solve for x

Multiply by 2 both sides

-18x+38=-x+21

18x-x=38-21\\17x=17\\x=1

step 2

Find the value of y

DP=BP

we have

BP=-9x+19

DP=-y+5

substitute

-y+5=-9x+19

substitute the value of x

-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5

5 0
3 years ago
What is the domain and range of the relation [(1, -8), (-7,8), (-3, 7). (-3, -5]?​
Nadusha1986 [10]

Step-by-step explanation:

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range ={-8, -5, 7, 8}

6 0
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Find the equation line
DanielleElmas [232]

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Step-by-step explanation:

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4 0
3 years ago
Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain
Igoryamba

Answer:

Monica is not correct.

Step-by-step explanation:

First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)

8 0
3 years ago
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