Answer:
Find the slope between the points ( -2, -6) and (3, 14)
1 answer:
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Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' =
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
We know that to find the area of the entire circle, we are going to use the equation:
And we know that the diameter is 12. To find the radius, we divide the diameter by 2, so 12/2 = 6. So the radius is 6.
Now we can use this radius in the equation:
Since all of the angles of each section are equal, we can assume that each of the sections has an equal area. There are 5 sections, so we need to divide by 5 to find the area of each section:
Each section has an area of or, using 3.14 for pi,
.
Since we are told to find the area of the blue sections, we know that there are 2 sections that are blue. So we need to multiply the area of each section by 2, to find the area of two of the sections:
Therefore, the answer is C) 45.2 .