The linear equations are given as follows:
- For diagonal AC: .
- For diagonal BD: .
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For diagonal AC, the line contains points (-3,3) and (3,-3), hence the line is:
y = -x.
In standard form:
.
For diagonal BD, the line contains points (3,3) and (-3,-3), hence the line is:
y = x.
In standard form:
.
More can be learned about linear equations at brainly.com/question/24808124
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Surface area is the total area of the 2d cutout you have shown, because if folded it would be the area of the surface. Remember that each side of a rectangle has the same value on the other side. For example, where "2ft" is placed on the far left of the diagram, the side just to the right of it would also be 2ft. Once you have these values all written down, you can evaluate the area of each individual box within the entire diagram by multiplying the width by height. Once you have the area of each individual box, add all the area values together to find the surface area.
It's saying that B is equal to 1, and c is equal to 4. So your gonna square B (multiply it by itself) and add c. Make sense?
Answer:
steps below
Step-by-step explanation:
a) f(x) = (x+2)² - 9
b) y = (x-h)² + k , (h,k) is vertex vertex (-2 , -9)
x intercept: (x+2)² - 9 = 0
x+2 = ± 3
<u>x = 1 or x = -5</u>
y intercept: <u>y = -5</u>
c) attached
d) y ≥ -9 [-9,∞)
Sales Tax = $51 x .06 = $3.06
Total Cost = 51 + 3.06 + 51(.2) = $64.26