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:
A = 4 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 4) (2)
A = 4 units ^2
The formula for perimeter is
Side a x2 + side b x2
So just multiply 18 by two, and subtract it from 108
Answer:
75 degrees
Step-by-step explanation:
those two angles = 180
180-105 =75
Answer: -3
Step-by-step explanation:
y = mx + b (slope intercept formula)
9x - 3y = -54
-3y = 9x - 54
Divide all by -3
y = -3x + 18
Slope = -3
Hope this helps!
