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Anton [14]
2 years ago
11

Write the equation in standard form for the circle with radius 9 centered at the origin.

Mathematics
1 answer:
amid [387]2 years ago
8 0
The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:

(X-h)^2 + (y-k)^2 = r^2

As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9

Substituting these values into the standard form of the equation of a circle given above:

(X-0)^2 + (y-0)^2 = 9^2
X^2 + y^2 =81

The standard form is x^2 + y^2 =81

I’m pretty sure this is right
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Vanessa throws a tennis ball in the air. the function h(t) = -16t2 + 45t + 7 represents the distance, in feet, that the ball is
antiseptic1488 [7]
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
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t=1.40625~1.4 seconds
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4 0
3 years ago
Which of the segments below is a secant?
Rainbow [258]

Answer:

BC

Step-by-step explanation:

A secant is a line which intersects the circle at 2 points

In the given diagram this is BC

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3 years ago
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3 years ago
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Can you help I have tried 4 times
docker41 [41]

Answer:

5120oz/12=426.667 ounces.

Step-by-step explanation:

We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.

Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.

 

Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.

7 0
3 years ago
14,000 acres of a 40,000 acre forest burned in a forest fire. what percentage of the forest was damaged?
Oksanka [162]
% damaged =   (14 000/40000) * 100%
 
                    =  14/40 * 100%
                    
                    = 0.35*100%
 
                    = 35% 
7 0
3 years ago
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