By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
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7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
Answer:
x = 36
Step-by-step explanation:
(3/4)*x-((2/3)*x)-4 = (1/6)*x-7 // - (1/6)*x-7
(3/4)*x-((2/3)*x)-((1/6)*x)-4+7 = 0
(3/4)*x+(-2/3)*x+(-1/6)*x-4+7 = 0
3-1/12*x = 0 // - 3
-1/12*x = -3 // : -1/12
x = -3/(-1/12)
x = 36
Answer:
V = 64 and V = 2,048
Step-by-step explanation:
The volume of a cube is found using V = s*s*s. Substitute s = 4.
The volume is V = 4*4*4 = 64.
The volume of the crate is 32 * 64 = 2,048.
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
Subtract 10 and collect terms to get the variable term by itself on the left.
... 4c = 24
Divide by the coefficient of the variable, 4.
... c = 6
The appropriate choice is the second one:
... 6
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You don't actually have to sove the equation to find the right answer. You just need to see which answer works.
-6: 5(-6) -(-6) +10 = -14 ≠ 34
6: 5(6) -(6) +10 = 34 . . . . . . . this answer works (you can stop here)
11: 5(11) -(11) +10 = 54 ≠ 34
-11: 5(-11) -(-11) +10 = -34 ≠ 34
