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Anit [1.1K]
2 years ago
13

The circle below is centered at the point (4,-3) and has a radius of length 3 what is it’s equation?

Mathematics
2 answers:
labwork [276]2 years ago
7 0
Hi there!

The standard form of the equation of a circle is:
(x - a) {}^{2} + (y - b) {}^{2} = r {}^{2}

With (a, b) representing the centre and r representing the radius of the circle.
Since the centre of the circle is (4, -3) and the radius is 3, we get the following equation:

(x - 4) {}^{2} + (y + 3) {}^{2} = 9
ivolga24 [154]2 years ago
3 0

Answer:

The correct answer is

(X+3)2 + (y-4)2 = 9

Step-by-step explanation:

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Which answer best describes the solution to the equation
SCORPION-xisa [38]
4 + 5z = 5z + 4 is an identity and is true for all values of z.

The equation has, therefore, infinitely many solutions.
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Mr. Santos purchased pizza and soda. Each pizza cost $14.50. He spent $127 on the soda. If he spent $315.50, use the equation 14
natali 33 [55]

Answer:

13 pizzas he bought

Step-by-step explanation:

315.50 - 127 = 188.50  then do 188.50 divided by 14.50 = 13

Hope this helps :)

4 0
3 years ago
Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
3/4 (x - 3) - 5 = 1/8 ( x - 1 )
KonstantinChe [14]

Answer:

x = - \frac{57}{5}

Step-by-step explanation:

\frac{3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - \frac{57}{5}

3 0
2 years ago
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