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miskamm [114]
3 years ago
9

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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What is the solution of /x2+49 = x+5?
ICE Princess25 [194]

Answer: x= 12/5 or 2 2/5

Step-by-step explanation:

6 0
3 years ago
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What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

Thus the slope of line is 0

3 0
3 years ago
Bob made 4 1/4 pounds of fruit salad. He added 10 ounces of pineapple. How many 6-ounce servings did Bob make?
rosijanka [135]

Answer:

13 or B

Step-by-step explanation:

1 pound=16 oz

4 1/4=4.25, 4.25*16=68

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6 0
3 years ago
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Ava has a dozen apples of the same size and a dozen watermelons of the same size. Ava uses her juicer to extract 14 ounces of wa
ExtremeBDS [4]

Answer:

85.9%

Step-by-step explanation:

We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

11.9/84 = 0.141

I am doing this way because I could not get 84/11.9 into a percent without it going over 100%. Next step is to multiply by 100.

0.141 x 100 = 14.1%

Next, subtract 100% from 14.1%.

100% - 14.1% = 85.9%

Therefore, the answer is 85.9%.  I hope this helps.

I rethought this, so if it is asking for a percentage greater than 100, then here is my original answer (which did not make sense to me so i took a different route):

"We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

84/11.9 = 7.05

Multiply by 100:

7.05 x 100 = 705

Therefore, the answer is 705%. I have never seen a percentage over 100, but I hope this helps. "

3 0
2 years ago
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solniwko [45]

Answer:

y=16x

Step-by-step explanation:

So, you are given the equation as if y=total distance the earth travels in x minutes. If you are given that you travel 80 miles in 5 minutes, you can plug  these value into the variables they are representing and solve for the constant.

Visual:

y=xk          y=miles        x=minutes         k=constant

Plug in your values and you get:

80=5k

Now, you solve for k by diving 5 on both sides, which leaves you with k=16.

Now you plug your value for k into the original equation, leaving you with y=16x

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