The Hudson river valley-NYC was originally New Amsterdam
Answer:
Given:
f(x) = 3x - 1
g(x) = x + 2
To Find:
(f - g)(x)
Step-by-step explanation:
Answer:
If you solve a linear equation you have two different lines.
Now with that being said the solutions are as follows;
<u>One Solution</u>: The slopes are different
<u>No solution</u>: The slopes are the same and the y intercepts are different
<u>Infinite Solutions</u>: The slopes are the same and the y intercepts are different
The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.
To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.
The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.
The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.
The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.
Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
