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Marizza181 [45]
3 years ago
15

Find the center and radius of the circle described by the equation

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
Complete the square fr x and y's sepreatly to get into form
(x-h)²+(y-k)²=r²
the center is (h,k) and radius is r

so


group x's and y's seperatly
(4x²-10x)+(4y²+24y)+133/4=0
undistribute leading confident from each
4(x²-2.5x)+4(y²+6y)+133/4=0
take 1/2 of each linear confident and square it and add negative and positive inside the parenthasees
-2.5/2=-1.25 (-1.25)²=1.5625
6/2=3, 3²=9
4(x²-2.5x+1.5625-1.5625)+4(y²+6y+9-9)+133/4=0
factor perfect squares
4((x-1.25)²-1.5625)+4((y+3)²-9)+133/4=0
expand
4(x-1.25)²-6.25+4(y+3)²-36+133/4=0
4(x-1.25)²+4(y+3)²-9=0
add 9 to both sides
4(x-1.25)²+4(y+3)²=9
divide both sides by 4
(x-1.25)²+(y+3)²=9/4
(x-1.25)²+(y+3)²=(3/2)²

the center is (1.25,-3) and the radius is 1.5
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Please help thanks!!
Anna35 [415]

First divide both sides by 5. Then you get the answer. -0 or 0 I'm not sure tho


5 0
3 years ago
Read 2 more answers
Cornelia cut equal lengths of ribbon each 7/10 ft long. The ribbon was 3 1/2 ft long.How many pieces did Cornelia cut?
Ilya [14]

she cut two and two thirds 2 2/3


6 0
3 years ago
Read 2 more answers
The sum of the two decimals is 1 the product of these decimals is 0.25 the quotient of these two decimals is 1 what are the two
ExtremeBDS [4]
Since the quotient of the two decimal numbers is 1, that tells use that they are the same number.
Since the sum of the two numbers equals 1 and both numbers are the same, then the answer must be 1 divided by 2. or .5
the fractions would be 1/2 and 1/2

5 0
3 years ago
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial,
Alona [7]

Full question:

Linear Functions: Taking a Taxi

You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?

Answer:

Cannot go 5 miles having just $11

Step-by-step explanation:

Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that

1 mile = $4.75

And so to go x miles, we require $4.75x

Equation can therefore be modelled thus :

y=4.5x

Where y = total cost of transport in dollars

x= cost in dollars per mile

To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles

y=4.5*5

y= $22.5

Therefore we cannot go 5 miles just having $11

3 0
2 years ago
May's bakeshop makes triple brownies that cost $1.50 each. Past experience shows 20% of the brownies will spoil. Assuming may wa
Simora [160]
You must add 20 and 40, and divide it.


4 0
3 years ago
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