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3 years ago

A circle has the equation x^2+y^2+x-6y+9=0. Find the center and any x or y intercepts.

Mathematics

1 answer:

Softa [21]3 years ago

5 0

We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4

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A chemist wants to mix a 66% alcohol solution with eight liters of 54% alcohol solution to produce a solution that is 65% alcoho

Rzqust [24]

Answer:

We have 8 liters of 54% alcohol.

We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.

54 * 8 + 66 x = 65 (8 + x)

432 + 66x = 520 + 65x

x = 88 liters

Step-by-step explanation:

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3 years ago

Whats 107 over 1000 as a decimal

ivann1987 [24]

Step-by-step explanation:

107 / 1000 = 0.107

6 0

3 years ago

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There are 6 gray keys for every 11 black keys. Also, the number of black keys is 2 less than twice the number of gray keys. Use

emmainna [20.7K]

$\text{ Answer: There are }12\text{ gray keys.}\\\\\text{ there are }22\text{ black keys.}$

Explanation:

Since we have given that

There are 6 gray keys for every 11 black keys .

So, the ratio will be 6:11

Let the number of gray keys be 6x

Let the number of black keys be 11x

Now, according to question,

$11x=2\times 2x-2\\\\11x=12x-2\\\\11x-12x=-2\\\\-x=-2\\\\x=2$

so,

$\text{ there are }6x=6\times 2=12\text{ gray keys.}\\\\\text{ there are }11x=11\times 2=22\text{ black keys.}$

8 0

3 years ago

Write the linear equation in slope intercept form.<br><br>4x+y=1

geniusboy [140]

Answer: y=-4x+1

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:

4x+y=1

(4x+y)-4x=1-4x

y=1-4x

y=-4x+1

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3 years ago

One fifth of a number, decreased by 17 is 41 in algebraic expression

asambeis [7]

The correct algebraic expression is X ÷ 5 - 17 = 41

<h3>What is an algebraic expression?</h3>

An algebraic expression is a term that refers to a way of representing mathematical operations in which letters and numbers are combined, related to signs of the operations such as:

Addition (+)
Subtraction (-)
Multiplication (×)
Division (÷)
Empowerment ( $x^{2}$ )

According to the above, we can infer that the correct algebraic expression would be:

X ÷ 5 - 17 = 41

In this algebraic expression the letter X represents a number that we do not know and we must find.

Learn more about algebraics in: brainly.com/question/953809

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2 years ago

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