Math slope graph please help
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Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
Answer:
A)
B)
C)
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)