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This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)
Answer:
x=2
x=-5
Step-by-step explanation:
You need to get everything on one side to have a quadratic equation:
x^2+6x-4 -(3x+6) = x^2+3x-10
All factors of 10 are 1*10 and 2*5.
5-2 = 3 and 5*-2 = -10
Factoring x^2+3x-10 gives us (x-2)(x+5)
x=2
x=-5
Point slope form says the line through (a,b) with slope m is
y - b = m(x - a)
Here that's
y - 32 = -6(x - -6)
y -32 = -6(x + 6) = -6x - 36
y = -6x - 4
Check:
-6(-6) - 4 = 36 - 4 = 32, good
Answer: y = -6x - 4
Answer:
21.8
Step-by-step explanation:
