<span>In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.</span>
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
<h3>Calculation of angle</h3>
The distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
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Answer:
4x^2 + x
Step-by-step explanation:
just multiply x to each of the terms.
Answer: 1404 cubic feet.
Step-by-step explanation:
Formula :
Volume of a rectangular prism is given by :
Volume= Area of the base x Height.
Given : Talishas bedroom is a rectangular prism.
The area of the floor = 156 square feet
The height of the floor = 9 feet
Then , the volume of Talishas bedroom = Area of floor x Height
= 156 × 9=1404 cubic feet.
Hence, the volume of Talishas bedroom= 1404 cubic feet.
Answer:
7,680
Step-by-step explanation:
6 x 4 x 4 x 4 x 5 x 12 = 23040
23040/3 = 7,680
