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lidiya [134]
2 years ago
6

The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in

standard form. Show all of your work for full credit.
Mathematics
1 answer:
Deffense [45]2 years ago
6 0

Step-by-step explanation:

The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

The formula needed to find the minpoints is

(x,y) = (x2 + x1)/2, (y2 + y1)/2

x2 = 3

x1 = 3

y2 = 0

y1 = -7

midpoint = (3 + 3)/2, (0 - 7)/2

midp[oint = 3,-3.5

The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2

To determine r^2 you need only take the distance from the center to oneof the endpoints.

r^2 = (3 - 3)^2 + (3.5 - 0)^2

r^2 = 3.5^2

r^2 = 12.25

Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25

You might be interested in
A line passes through (4, 5) and (8, 9). Which equation best represents the line?
xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



7 0
2 years ago
What am I doing wrong?
Angelina_Jolie [31]
You didn't put x in !

3 0
3 years ago
What is the area of this trapezoid?
Sonbull [250]
Find the area of the square first
Area = Length x Width
Area = 12 x 9
Area = 108

Find the area of the right triangles
Area = 1/2(Length x Base)
Area = 1/2(9 x 2)
Area = 1/2(18)
Area = 9
Since there is 2 triangles multiply by 2
9 x 2 = 18

Now add
108 + 18 = 126
126 is your area
8 0
2 years ago
Read 2 more answers
Evaluate.<br><br> 4^3−4÷2⋅5<br><br><br> 20<br><br> 40<br><br> 54<br><br> 150
nika2105 [10]

Answer:

150

Step-by-step explanation:

1. 4^3 = 4 x 4 x 4 = 16 x 4 = 64

2. 64 - 4 = 60

3. 60 ÷ 2 = 30

4. 30 ⋅ 5 = 150

3 0
2 years ago
Given that 1 in. = 2.54 cm exactly, indicate what conversion factor is appropriate to convert 12.4 in. to centimeters.
Dahasolnce [82]

You are given that 1 inch = 2.54 centimeters, so to convert 12.4 inches to centimeters, you would multiply 12.4 in by 2.54 cm.

4 0
3 years ago
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