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GREYUIT [131]
2 years ago
13

Find the equation of circle (5,1) diameter 4 square root 5​

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

(x-5)^2+(y-1)^2=20

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Given:

  • center = (5, 1)
  • diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2

\implies (x-5)^2+(y-1)^2=20

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3.PS-15
lianna [129]

Answer:

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Step-by-step explanation:

3.PS-15

Challenge The members of the city cultural center have decided to put on a play once a night for a

week. Their auditorium holds 500 people. By selling tickets, the members would like to raise $2,350

every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Lets

represent the number of student tickets sold at $3.50 each. If all 500 seats are filled for a

performance, how many of each type of ticket must have been sold for the members to raise exactly

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there were 400 tickets sold at that performance, how much below the goal of $2,350 did ticket sales

fall?

The members sold

adult tickets and

student tickets.

3 0
2 years ago
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6 0
3 years ago
5-p=r-3 multi step equation
const2013 [10]

Answer:

r+p=-8

Step-by-step explanation:

5-p=r-3

5+3-p-r=0

8-p-r=0

r+p=-8

4 0
3 years ago
A line passes through the point (4,8) and has a slope of 3/2. Write an equation in slope-intercept form this line.
Tcecarenko [31]

Answer:

3x-2y=-4 is the equation of the slope intercept line.

Step-by-step explanation:

The passing through point (4,8)=(x1,y1)

Slope(m)=3/2

the equation is

or (y-y1)=m(x-x1)

or (y-8)=3/2(x-4)

or 2y-16=3x-12

or 2y-3x=16-12

or 2y-3x=4

or -(3x+2y)=4

or 3x-2y=-4

This is the Final equation of that line..

6 0
2 years ago
elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo
konstantin123 [22]

9514 1404 393

Answer:

  C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

  (4x +2y) -2(x +y) = (14) -2(3)

  4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

  2x = 8 . . . . . . . . . . . . . . collect terms

8 0
3 years ago
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