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Snezhnost [94]
3 years ago
13

Y=1/3x+4 going through the point (9,-2)

Mathematics
1 answer:
Art [367]3 years ago
5 0
Substitute x=9 and y=-2 into equation,
Left hand side=-2
Right hand side=1/3(9)+4= 3+4=7

Because LHS doesn’t = with RHS, the point (9,-2) doesn’t satisfy with the equation

Therefore the point doesn’t go through y=1/3x +4.
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Answer:

Area: 15.53 square inches

Perimeter: 15.71 inches

Step-by-step explanation:

Area:

So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is \pi r^2. But since this is a semi circle it's half of that which is \frac{\pi r^2}{2}. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get \frac{(3.14) (1.5)^2}{2} = 3.5325. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

Perimeter:

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