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Sophie [7]
3 years ago
12

Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -

8y
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

The center is at (3, -4), and the radius is 9.

Step-by-step explanation:

x² + y² − 6x = 56 − 8y

Move x and y terms to one side.

x² − 6x + y² + 8y = 56

Complete the squares.

x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

(x − 3)² + (y + 4)² = 81

The center is at (3, -4), and the radius is 9.

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(4). Simplifying polynomials, help pls:) brainliest involved
Roman55 [17]

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

5 0
3 years ago
How do you know if you have to divide or multiply in a ratio problem?
romanna [79]

Answer: you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. … Ratios can be scaled up or down by multiplying both parts of the ratio … the ratio by the largest number that they can both be divided by

Step-by-step explanation:

<h2> you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. ... Ratios can be scaled up or down by multiplying both parts of the ratio ... the ratio by the largest number that they can both be divided bydid this help</h2>
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A group of friends were working on a student film that had a budget of $500. They used $25 of their budget on props. What percen
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Answer:

1/8

Step-by-step explanation:

5 0
3 years ago
The range of the following relation R:
NemiM [27]

Answer:

{- 5, - 4, 2 }

Step-by-step explanation:

the range is the corresponding values of y ( output) from the given set in ascending order without repeats


3 0
3 years ago
Which of the following choices are equivalent to the expression below? check all that apply
Naddika [18.5K]

The choices are equivalent to the expression correct choices are A, C, and D.

The given expression is

x^3 /5

<h3>What is the expression?</h3>

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

<h3>What is the power rule?</h3>

a^{\frac{m}{n} =\sqrt[n]{a^m}

Therefore the above power rule implies that,

x^{(\frac{3}{5}) }=\sqrt[5]{x^3}

Also, we have the power rule

(a^m)}^n=a^{mn}

x^{\frac{3}5} =(x^3)^{\frac{1}{5}

or it can be written as

x^{\frac{3}{5} =(\sqrt[5]{x})^3

The correct choices are A, C, D.

To learn more about the expression visit:

brainly.com/question/723406

#SPJ1

3 0
2 years ago
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