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Lady bird [3.3K]
3 years ago
13

A circle with a center at (2,-3) passes through the point (-1,-8). Write the equation of the circle.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer: (x - 2)^2 + (y + 3)^2 = 34

Step-by-step explanation:

The basic equation for a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle

Using Pythagoras we can find r^2

r^2 = (2 - -1)^2 + (-3 - -8)^2

= 3^2 + 5^2

= 34

So the circle is (x - 2)^2 + (y - -3)^2 = 34

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D. 6x^4+3x^3y

Step-by-step explanation:

3x^3(2x+y)

distribute 3x^3

3x^3*2x+3x^3*y

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Rochelle's car averages 32.5 miles per gallon on the highway. At that rate, how many gallons of gas will her car use for driving
posledela
260/32.5 = 8.
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Step-by-step explanation:

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4 0
4 years ago
tom and lisa each had a birthday party at hurricane harbor last weekend . the cost of admission was $137.50 for 13 children and
gregori [183]

Answer:

Per child admission costs $8.5

Per Adult admission costs $13.5

Step-by-step explanation:

Let x be the amount of admission per child and y be the amount of admission per adult

For Tom's party:

13x+2y=137.50      (Equation 1)

For Lisa's Party:

9x+2y=105.50       (Equation 2)

Using Elimination Method:

Add Equation 1 & 2

13x+2y=137.50

9x+2y=105.50  

-    -   = -         (Change of Signs)

---------------------------------

4x+0y=34.00      

x=34/4

x=8.5

Putting the value of x in Equation 2

13(8.5)+2y=137.50

110.5+2y=137.50

2y=137.50-110.50

2y=27

y=27/2

y=13.5

4 0
3 years ago
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