The result of the given expression is -6
<h3>Solving expressions</h3>
Given the expression below
−3/2⋅4⋅1/2(10−8)
Expand to have;
-3/2 * 4 * 1/2(2)
-3/2 * 4 * 1
-3/2 * 4
This is expressed as;
-12/2
-6
Hence the result of the given expression is -6
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Answer:
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Step-by-step explanation:
Step-by-step explanation:
12x-15-4x+1=-6
12x-4x= -6+15-1
8x= 8
x=1
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<h3>
Answer: 7 cm</h3>
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Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
Step-by-step explanation:
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