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GaryK [48]
3 years ago
15

Determining Whether a Point Lies on a Circle

Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:

No

Step-by-step explanation:

If the center is at (0, 0) and if (0, -9) lies on the circle, then the radius must be 9.

In this case, the equation of this circle is

x^2 + y^2 = r^2 = 9^2.

Does (8, 717) satisfy this equation?  No.  717^2 would be far outside of the circle.  the distance from the center to the point  (8, 17) is not the same as the radius

Ket [755]3 years ago
6 0

Answer:

Yes, the distance from the origin to the point  

(8, ) is 9 units.

Step-by-step explanation:

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ANSWER ASAP!! WILL GIVE OR MORE POINTS TO THE FIRST ONE WHO ANSWERS!
Sergio [31]

Answer: See the picture attached.

Step-by-step explanation:

Given the following mixed numbers:

-2\frac{3}{4}\\\\-4\frac{1}{2}

You need to convert them to decimal numbers. The steps to do this are shown below:

1. Divide the numerator of the fraction by the denominator.

2. Add the quotient obtained to the whole number part.

Then:

-2\frac{3}{4}=-(2+0.75)=-(2.75)=-2.75\\\\-4\frac{1}{2}=-(4+0.5)=-(4.5)=-4.5

Therefore, the point is:

(-2.75,-4.5)

Where -2.75 is the x-coordinate and -4.5 is the y-coordinate.

Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.

8 0
3 years ago
Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911
nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

\lambda=\dfrac{1}{2}

(a) What is the expected number of 911 calls in one hour?

\lambda=\dfrac{1}{2}\times 60=30

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

\lambda=\dfrac{1}{2}\times 5=2.5

Number of calls = 3

So, P(X=3) is given by

P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820

Hence, a) 30, b) 0.2138, c) 0.0820

4 0
3 years ago
√5•√80<br><br> Show your steps pls ty
kykrilka [37]

Answer:

20

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

\sqrt{5} × \sqrt{80}

= \sqrt{5(80)}

= \sqrt{400}

= 20

8 0
3 years ago
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