Answer:
178.5 m^2
Step-by-step explanation:
Here we see a square and a half circle
Equation: A=bh+πr²
Square: 10*10= 100
Half circle: π5² (it is 5 because the diameter is 10)
A= 25π
A=100+25π
A=178.5
Answer:
f(x) = 10
Step-by-step explanation:
for direct variation
f(x) = kx
substitute in for f(x) and x
40 = k*8
solve for k
40/8 = k*8/8
5 =k
now we have
f(x) = 5*x
let x=2
f(x) = 5*2
f(x) = 10
1) Answer: 
<u>Explanation:</u>
The equation of an ellipse is:
; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.
Center Radius
x-axis: (10 + -10)/2 = 0 10 - 0 = 10
y-axis: (2 + -2)/2 = 0 2 - 0 = 2
Now, input the values into the equation:


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2) Answer: 
<u>Explanation:</u>
Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5
Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1
Center Radius
x-axis: (-1 + 1)/2 = 0 1 - 0 = 1
y-axis: (1 + -5)/2 = -2 1 - (-2) = 3
Now, input the values into the equation:



Answer:
The graph is attached below.
Step-by-step explanation:
First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.
This gives us x is greater than -1. So, we can graph: