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Delvig [45]
3 years ago
10

okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is

( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.​
Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5

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How do I find the n in A=P(1+(r/n)^(nt)?
dmitriy555 [2]
This is the formula for compounded interest.
P is the principal investment,
r is the rate (6%=0.06)
n is the number of times compounded per year (n=12 is monthly, n=2 is twice per year)
T is the number of years past
And A is the amount of money after t years with a rate r compounded n times per year staring at P amount
Final answer:
n is the number of times per year the interest is compounded.
Hope I helped, and sorry it took this long for you to get an answer.
3 0
3 years ago
The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
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MakcuM [25]
It would be nonsense, as if the beetle were at normal size, then it would be considered 1/1 as a scale. If you wanted to increase it, you would increase the numerator.
4 0
3 years ago
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Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.
ch4aika [34]

Answer:

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Step-by-step explanation:

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H
timama [110]
I’m not really sure it’s really complicated
4 0
3 years ago
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