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Nat2105 [25]
3 years ago
14

If the equation of a circle is (x+5)^2 + (y-7)^2=36, its center point is​

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

centre = (- 5, 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 7)² = 36 ← is in standard form

with h = - 5 and k = 7

centre = (- 5, 7)

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Perform the operation and write the answer in simplest form. 2 1/5 ÷ 31/5
Vinil7 [7]

<u>Answer:</u>

\frac{11}{31}

<u>Step-by-step explanation:</u>

We are given the following expression and we are to perform operation and write the answer in simplest form:

\frac { 2 \frac { 1 } { 5 } } { \frac { 31 } { 5 } }

Changing the mixed fraction into improper fraction:

2\frac{1}{5} ---> \frac{11}{5}

Now simplifying it:

\frac { \frac { 1 1 } { 5 } } { \frac { 31 } { 5 } }

Changing the division sign to multiplication by taking the reciprocal of the denominator:

\frac{11}{5} \times \frac{5}{31}

\frac{11}{31}

5 0
3 years ago
Read 2 more answers
Find the value of each variable. Write your answers in simplest form.
hodyreva [135]

Answer:

q = 16 \sqrt{2} and r = 16

Step-by-step explanation:

We know that

  • \sin( \alpha )  =  \frac{side \: opposite \: to \:  \alpha }{hypotenuse \: of \: triangle}
  • \cos( \alpha )  =  \frac{side \: adjacent \: to \:  \alpha }{hypotenuse \: of \: traingle}
  • \tan( \alpha )  =  \frac{side \: opposite \: to \:  \alpha }{side \: adjacent \: to \:  \alpha }

where \alpha is an angle of a triangle.

In the triangle given above , \alpha = 45°. So,

1) \sin( 45)  =  \frac{16}{q}

=  >  \frac{1}{ \sqrt{2} }  =  \frac{16}{q}

=  > q = 16 \sqrt{2}

2) \tan(45)  =  \frac{16}{r}

=  > 1 =  \frac{16}{r}

=  > r = 16

8 0
3 years ago
I’ll give 10 points if you help!
GuDViN [60]

Answer:

\sqrt{50} × 3\sqrt{2} = 30

C. 30

6 0
3 years ago
PLEASE HELP
Pavel [41]

Answer:

15.06

Step-by-step explanation:

I don't have a step-by-step explanation, but i hope this helps!!!

7 0
3 years ago
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They
stellarik [79]

Formula for compound interest is

Interest = Amount - Principal

Interest = P(1+r)^{t} - P

Where r = rate in percent

t = time in years

For Jaina,

P = $300

r= 7%

t = 3 yrs

So, Interest = 300(1+0.07)^{3} - 300

For Tomas

P = $400

r= 4%

t = 3 yrs

So, Interest = 400(1+0.04)^{3} - 400

So pair of equations for Jaina and Tomas are

Interest = 300(1+0.07)^{3} - 300

Interest = 400(1+0.04)^{3} - 400

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3 years ago
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