Answer:
86
Step-by-step explanation:
First, we find the area of each individual polygon:
Starting with C for the half circle:
Since it's a half circle, we divide the final product by 2:
Next, the trapezoid:
Last, since we combined the triangle with the trapezoid, we add all the areas we've found to find the area of the entire shape:
<em>Hope this helped! Have a good day.</em>
Olate the variable by dividing each side by factors that don't contain the variable.
t
=
√
−
y
22
t
=
-
y
22
t
=
−
√
−
y
22
Answer:
(x - 1 , y + 6)
Step-by-step explanation:
A translation of 6 units up is adding 6 to the y coordinate.
A translation of 1 unit left is subtracting 1 to the x coordinate.
(x - 1 , y + 6) is your answer.
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First find the the value of t where the curve intersects the Y-axis. This is when x = 0.
x = t^2 - 2t = 0 = t(t - 2)
So t= 0 and t = 2
dA = (0 - x)*dy .... Since the curve has negative x in this region
y = SQRT(t) and dy = [(1/2)/SQRT(t)]dt
dA = [2t - t^2][(1/2)/SQRT(t)]dt
dA = [t^(1/2) - (1/2)t^(3/2)]dt
Integrate to get: A = (2/3)t^(3/2) - (1/5)t^(5/2)
Now evaluate from t= 0 to t = 2.
Area = [(2/3)2^(3/2) - (1/5)2^(5/2)] - [0]
<span>
Area = SQRT(2)[4/3 - 4/5]
</span><span>
Area = SQRT(2)[8/15) = 0.754
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Hello,
A'=(-1,-6) (coordinate of A are exchanged)