We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
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x^2 = x^2 - 34x + 204
+34x +34x
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x^2 + 34x = x^2 + 204
-x^2 -x^2
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34x = 204
Divide 34 on both sides
x = 6.
The number is 6.
<h3>
Answers:</h3>
The first ordered pair is ( -4 , -3 )
The second ordered pair is ( 8, 3 )
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Explanation:
The first point is (x,-3) where x is unknown. It pairs up with y = -3 so we can use algebra to find x
x-2y = 2
x-2(-3) = 2 ... replace every y with -3; isolate x
x+6 = 2
x = 2-6
x = -4
The first point is (-4, -3)
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We'll do something similar for the other point. This time we know x but don't know y. Plug x = 8 into the equation and solve for y
x-2y = 2
8-2y = 2
-2y = 2-8
-2y = -6
y = -6/(-2)
y = 3
The second point is (8, 3)
The answer is c. 2 and 1/4
<span>−2,988 is the answer!</span>
Answer:
-12w^3+32w^2-136w+80
Step-by-step explanation:
4(2-3w)(w^2-2w+10)
multiply first two:
(8-12w)(w^2-2w+10)
multiply:
8w^2-16w+80-12w^3+24w^2-120w
simplify:
-12w^3+32w^2-136w+80