Answer:
4 m
Step-by-step explanation:
The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...
b² + 7.5² = 8.5²
b² + 56.25 = 72.25
b² = 16 . . . . . . . . . . . . . subtract 56.25
b = 4 . . . . meters . . . (take the square root)
The base of the ladder is 4 m from the wall.
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You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.
A. 4x+5=4x-5
4x+10=4x
10=0
B. 4x+5=4x+5
C.4x+5=1/4+5
4x=1/4
16x=1
x=16
D. 4x+5=8x+10
-4x=5
x=-5/4
A. has no solution
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5