Answer:
The slope is 1.5
Step-by-step explanation:
To get the slope of the graph, we proceed to select any two points lying on the given line, and applying the slope formula
The two selected points are as follows;
(x1,y1) = (-4,0)
(x2,y2) = (-2,3)
m = (y2-y1)/(x2-x1)
m = (3-0)/(-2-(-4)
m = 3/2 = 1.5
Answer:
Step-by-step explanation:
The formula for determining the slope of a ramp is expressed as
Slope = rise/run
The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is
Slope = 5/12 = 0.417
The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is
Slope = 6/3 = 2
The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.
This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Considering the first ramp,
Tan θ = 5/12 = 0.417
θ = Tan^-1(0.417)
θ = 22.6°
Considering the second ramp,
Tan θ = 6/3 = 2
θ = Tan^-1(2)
θ = 63.4°
The second ramp forms a greater angle. Thus, it is steeper.
B) 4/9 is correct
Mark with crown!
The answer to the question is 5.66
Answer:
The value of the x is 53.5 or x=53.5
Step-by-step explanation:
Given data in the question:-
![(x+7)2=121](https://tex.z-dn.net/?f=%28x%2B7%292%3D121)
We have to find the value of x.
Solution:-
![(x+7)2=121\\=>2x+14=121\\=>2x=121-14\\=>2x=107\\=>x=107/2\\=>x=53.5\\](https://tex.z-dn.net/?f=%28x%2B7%292%3D121%5C%5C%3D%3E2x%2B14%3D121%5C%5C%3D%3E2x%3D121-14%5C%5C%3D%3E2x%3D107%5C%5C%3D%3Ex%3D107%2F2%5C%5C%3D%3Ex%3D53.5%5C%5C)
Hence the answer is 53.5