Answer:
13.4feet
Step-by-step explanation:
The set up forms a right triangle.
Given
Height of the staircase h = 12 feet
Base of the stairs b = 6feet
Required
Length of the ramp l
Using the pythagoras theorem
l² = h² + b²
l² = 12²+6²
l² = 144 + 36
l² = 180
l = √180
l = 13.42 feet
Hence the length of the ramp to the nearest tenth is 13.4feet
Answer:
(- 5, - 28 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 10x
f(x) = x² + 2(5)x + 25 - 25 - 3
= (x + 5)² - 28 ← in vertex form
with (h, k) = (- 5, - 28)
Vertex = (- 5, - 28 )
Answer:
Same side interior angles
Step-by-step explanation:
Same side interior angles are interior angles and on the same side. Sorry don't know how to better explain.
Answer:
K = -2
Step-by-step explanation:
If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.
