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(5x³ + 4x²) - (6x² - 2x - 9)
-1(6x²) -1(-2x) -1(-9) = -6x² + 2x + 9
5x³ + 4x² - 6x² + 2x + 9
5x³ - 2x² + 2x + 9 Choice D.
The answer should be 95in^2
Explanation:
You’re essentially just finding the area of all the shapes on the triangle and adding them together.
Area of a triangle = 1/2•b•h
Area of a square = l•w or just s2
The area of the triangles given what we have in the diagram can be found with
1/2•5•7 = 17.5
There are 4 triangles so you multiply 17.5 by 4 which gives 70
The base of the triangle (the square) = 25
70+25=95
<span>Simplifying
2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms:
20 + -26x = 60 + -34x
Solving
20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation.
20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x
20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0
20 + 8x = 60 + 0
20 + 8x = 60
Add '-20' to each side of the equation.
20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0
0 + 8x = 60 + -20
8x = 60 + -20
Combine like terms: 60 + -20 = 40
8x = 40
Divide each side by '8'.
x = 5
Simplifying
x = 5</span>
