Step-by-step explanation:
-2x - 10 = 14x - 7
-10 + 7 = 14x +2x
-3 = 16x
-3/16 =x
Answer: Hi there
To find the last term in order to obtain the perfect square, take the middle term, divide it by 2, and take its square.
10 ÷ 2 = 5
5^2 = 25
Thus, the equation would be x^2 + 10x + 25
The answer is 25
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Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112
