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tangare [24]
2 years ago
13

The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.

Mathematics
1 answer:
Nata [24]2 years ago
8 0

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

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The compound interest on Rs. 50000 at 4% per annum for 2 years compound annually is
statuscvo [17]

Answer:

$54080

Step-by-step explanation:

Step one:

given

principal= Rs. 50000

rate= 4%= 0.04

time= 2 years

Required

The final Amount A

Step two

Applying

A= P(1+r)^t

substitute

A= 50000(1+0.04)^t

A= 50000(1.04)^2

A= 50000*1.0816

A= 54080

$54080

6 0
3 years ago
What is the total cost for a $100 dinner plus 20% tip plus 8% sales tax
hoa [83]
$129.6

you do 100 times .08 and get 8 so 100 + 8 = 108
then you do 108 times .20 and get 21.6 so 108 + 21.6 = 129.6
6 0
2 years ago
84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
Need quick answers has to show work
Zielflug [23.3K]

Answer:

Step-by-step explanation:

For some read I can’t see the pictures

8 0
3 years ago
PLEASE HELP PICTURE SHOWN
Rainbow [258]
Your answer is B. 2
This is because to rationalise the denominator, we need to multiply it by (3 - √7), so we get:
(3 + √7)(3 - √7)
3 × 3 = 9
3 × √7 = 3√7
3 × -√7 = -3√7
√7 × -√7 = -7
So all in all you get 9 - 7 which is 2.

I hope this helps!
4 0
3 years ago
Read 2 more answers
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