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Musya8 [376]
2 years ago
12

A circle is centered at (−3, 2) and has a radius of 2. Which of the following is the equation for this circle?

Mathematics
1 answer:
velikii [3]2 years ago
8 0

Answer:

c

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) is the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 2 ) and r = 2 , then

(x - (- 3) )² + (y - 2)² = 2² , that is

(x + 3)² + (y - 2)² = 4

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4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is
stich3 [128]

Answer:

D: y= -5x+12

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace x= 2 in either to see what we get.

C: -5(2)-2 = -12 Nope.

D: -5(2) +12 = 2 Good!

5 0
2 years ago
A given line has the equation 10x + 2y = −2.
stepladder [879]
10x + 2y = -2

2y = -10x -2

y = -5x - 1 (slope is -5 and a parallel line will have the same slope)


y = mx + b

slope(m) = -5

12 = -5(0) + b

12 = 0 + b

12 = b

so the parallel line is y = -5x + 12

hope this helps, God bless!

3 0
2 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
2 years ago
What are three complex fractions that all simplify to one fourth
Margaret [11]
These could be some possible amswers:2/8, 8,32, 3/12
5 0
2 years ago
To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 1
Leviafan [203]

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

6 0
2 years ago
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