500 = 10x + 2 * 15 * 5 + 15x
500 = 25x + 150
500 - 150 = 25x
350 = 25x
x = 14
Triangular ends: 14 * 10 = 140
Base rectangle: 14 * 15 = 210
side rectangles: 5 * 15 * 2 = 150
140 + 210 + 150 =
If you would like to write x^4y - 4x^2y - 5y in a completely factored form, you can do this using the following steps:
x^4y - 4x^2y - 5y = y * (x^4 - 4x^2 - 5) = y * (x^2 + 1) * (x^2 - 5)
The correct result would be <span>y * (x^2 + 1) * (x^2 - 5).</span>
Hey!
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<h3>
Question #32:</h3>
Solve: 4/m - 8 = 8/2
Cross Multiply: 4 * 2 = 8 * (m - 8)
Simplify: 8 = 8m - 64
Flip the Equation: 8m - 64 = 8
Add 64 to both sides: 8m + (-64) + 64 = 8 + 64
Simplify: 8m = 72
Divide both sides by 8: 8m/8 = 72/8
Final Answer: m = 9
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<h3>
Question #33:</h3>
Solve: 7/b + 5 = 10/5
Cross Multiply: 7 * 5 = 10 * (b + 5)
Simplify: 35 = 10b + 50
Flip the Equation: 10b + 50 = 35
Subtract 50 to both sides: 10b + 50 - 50 = 35 - 50
Simplify: 10b = -15
Divide both sides by 10: 10b/10 = -15/10
Final Answer: b = -3/2
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Hope This Helped! Good Luck!
The GCF of 72 is 60 is 12.