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swat32
2 years ago
12

Which equation represents the circle described? the radius is 2 units. the center is the same as the center of a circle whose eq

uation is x2 y2 – 8x – 6y 24 = 0. (x 4)2 (y 3)2 = 2 (x – 4)2 (y – 3)2 = 2 (x – 4)2 (y – 3)2 = 2² (x 4)2 (y 3)2 = 2²
Mathematics
2 answers:
zaharov [31]2 years ago
3 0

The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² – 8x – 6y + 21 = 0

The equation can be written as

x² – 8x + 16 + y² – 6y + 9 = 4

             (x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.

More about the circle link is given below.

brainly.com/question/11833983

pshichka [43]2 years ago
3 0

Answer:

(x - 4)² + (y - 3)² = 2² or C

Step-by-step explanation:

You might be interested in
If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?
zlopas [31]

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

6 0
3 years ago
Please help me please help help me help please
notsponge [240]

Answer:

An equation of a line is written in the form y=mx+b. ”m” is the slope and ”b” is the y-intercept. So, substituting the values, the equation is y=-4x+1.

:)

7 0
2 years ago
justin is redoing his bathroom floor with tiles measuring 6 in. by 13 in. the floor has an area of 8,500 in2. what is the least
Softa [21]


Frist you do 6*13

Which equals 78

Then you do 8,500/78

Which equals <span>108.974358974</span>

<span>Then you round it to 109</span>

<span>and there's your awnser</span>

<span>
</span>

3 0
3 years ago
Read 2 more answers
Solve for r.<br> -13 = r/9 +8
love history [14]
R/9 = -21
Multiply by 9
r = -189
4 0
2 years ago
Read 2 more answers
A) Work out the value of 5^2 – 1^5× 2^4<br>b) Work out the value of 7^2 + 4^3 ÷ 2^5​
NemiM [27]
First you have to know BODMAS/BIDMAS (idk if all schools teach it like this) but this is the order in which you complete questions so it’s Brackets, Indices, Division/Multiplication, Addition/Subtraction
a) 5^2 is 5x5 which equals 25 1 to the power of anything is always 1 and 2^4 is 2x2x2x2 which is 16
So 5^2-1^5x2^4 = 25-1x16 which is then 25-16 = 9
b) 7^2+4^3 divided by 2^5 so 7^2 is 7x7 which = 49 then 4^3 means 4x4x4 = 64 and 2^5 is 2x2x2x2x2 which equals 32 so
7^2+4^3 divides by 2^5 is 49+64/32 = 49+2 which is 51
8 0
3 years ago
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