Answer:
p = -3.5
Step-by-step explanation:
Simplifying
9 + -4(2p + -1) = 41
Reorder the terms:
9 + -4(-1 + 2p) = 41
9 + (-1 * -4 + 2p * -4) = 41
9 + (4 + -8p) = 41
Combine like terms: 9 + 4 = 13
13 + -8p = 41
Solving
13 + -8p = 41
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -8p = 41 + -13
Combine like terms: 13 + -13 = 0
0 + -8p = 41 + -13
-8p = 41 + -13
Combine like terms: 41 + -13 = 28
-8p = 28
Divide each side by '-8'.
p = -3.5
Simplifying
p = -3.5
Answer:
10x
Step-by-step explanation:
Answer:
x=3, y=76
Step-by-step explanation:
You set them equal because you plug in "y" as 22x+10 into "y=20x+16"
22x+10=20x+16
2x=6
x=3
20(3)+16=76
Answer:
d = 2cot(x) or d = 2/tan(x)
Step-by-step explanation:
The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).
Answer:
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