Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (8, - 3) and (x₂, y₂ ) = (2, 6)
m =
=
= - ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
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The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y = 5 - 2x , that is
y = - 2x + 5 ← in slope- intercept form
with slope m = - 2
Answer:
Step-by-step explanation:
50 - x² = 0
50 = x²
x² = 50
x = √50
![x = \sqrt{2*5*5}\\\\x=5\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B2%2A5%2A5%7D%5C%5C%5C%5Cx%3D5%5Csqrt%7B2%7D)