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Aleks04 [339]
3 years ago
14

Write the standard equation of the circle if the center is (-1,2), and a point on the circle is (2,6).

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Answer:

(x+1)²+(y-2)² = 25

Step-by-step explanation:

Standard equation of the circle is expressed as;

(x-a)²+(y-b)² = r²

(a,b) is the center of the circle

r is the radius

Get the radius

r = √(x2-x1)²+(y2-y1)²

r = √(2+1)²+(6-2)²

r = √3²+4²

r = √9+16

r = √25

r = 5

Substitute into the formula

(x-a)²+(y-b)² = r²

a = -1, b = 2, r = 5

(x-(-1))²+(y-2)² = 5²

(x+1)²+(y-2)² = 25

This gives the required equation

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Answer:

a) Table and graph showed

b) The distance will be 231 miles

c) Yes

Step-by-step explanation:

We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as  

D(g)=22g, being g the number of gallons of gas used

a) The graph of the function D and its corresponding table of values is shown below.  

b) If the van used g=10.5 gallons of gas, the distance would be:

D(10.5)=22 x 10.5 = 231 miles

c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.

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3 years ago
Which of the following numbers can be expressed as a decimal that<br> terminates 9/7 5/3 3/2 6/4
podryga [215]

Answer:

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Step-by-step explanation:

9/7 does not terminate: 1.285724285724285724...

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C and D terminate.

8 0
3 years ago
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choli [55]

Answer:

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3 years ago
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drek231 [11]
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A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

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On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
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