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sergejj [24]
2 years ago
10

DE has endpoints D(–1, 0) and E(3, 2). If DE is dilated by a scale factor of 2 and the center of dilation is (0, 0), what are th

e coordinates of D' and E'?
Mathematics
1 answer:
arlik [135]2 years ago
3 0

Answer:

D'(-2, 0)

E'(6, 4)

Step-by-step explanation:

If DE is dilated by the scale factor 2, we can multiply the endpoints by the scale factor 2 to find the coordinates of D' and E'!

HOPE THIS HELPS!!

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Step-by-step explanation:

Let x= cost per pair of jeans

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For you, total cost = x+4y+2z= 84

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Required system:

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from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

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