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Inessa05 [86]
2 years ago
8

Write the equation of the circle in general form. Show all your work.

Mathematics
1 answer:
Sergio [31]2 years ago
3 0

Answer:

(x + 3)^2 + (y - 2)^2 = 25

Step-by-step explanation:

Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.

radius  = 5

Origin of the circle (h,k) = (-3,2)

Equation of a circle: (x - h)^2 + (y - k)^2 =r^2

Plug in our (h,k) and radius into the equation.

(x - (-3))^2 + (y - (2))^2 = 5^2

(x + 3)^2 + (y - 2)^2 = 25

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Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is -6?
babymother [125]

Answer:

Line M - neither

Line N - parallel

Line P - perpendicular

Line Q - neither

Step-by-step explanation:

If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.

If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.

3 0
4 years ago
The diameter of a circle is 8 feet. What is the angle measure of an arc a feet long?
fiasKO [112]

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

4 0
3 years ago
Which function is linear?
gulaghasi [49]

Answer:

4

Step-by-step explanation:

5-1=4

4 0
3 years ago
On the blueprint for Joey's new house,his floor measures 9 square feet.The actual house will have an area of 1296 square feet.Wh
bonufazy [111]

Answer:

1:144 ft²

Step-by-step explanation:

9 : 1296

1 : x

9x = 1296

x = 1296/9

x = 144

Scale factor = 1:144

6 0
3 years ago
Graph the linear equation. <br> 3x-4y=12 Thanks
WITCHER [35]
Hi 
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6 0
3 years ago
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