4 years ago

I need help with 8-11....

Mathematics

1 answer:

MaRussiya [10]4 years ago

8 0

8. Quadrants
9. Proportion
10. Proportionality
11. Dimensional analysis

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Find the center and radius of this circle.<br> x2 + y2 − 40x − 24y + 15 = 0

Julli [10]

ANSWER

Center: (20,12)

Radius:23

EXPLANATION

The given circle has equation:

${x}^{2} + {y}^{2} - 40x - 24y + 15 = 0$

We complete the square as follows:

${x}^{2} - 40x + {y}^{2} - 24y = - 15$

${x}^{2} - 40x + {( - 20)}^{2} + {y}^{2} - 24y + {( - 12)}^{2} = - 15+ {( - 20)}^{2}+ {( - 12)}^{2}$

${(x - 20)}^{2} + {(y - 12)}^{2} = - 15+ 400+ 144$

${(x - 20)}^{2} + {(y - 12)}^{2} = 529$

${(x - 20)}^{2} + {(y - 12)}^{2} = {23}^{2}$

Comparing this equation to:

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

We have

$(h,k)=(20,12)$

representing the center and

$r = 23$

being the radius.

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3 years ago

PLEASE HELP!!!<br> In the diagram below, if m1 = 79, find the<br> measure of each numbered angle.

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2 - 101
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4 - 79
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Explain what a scatterplot is please and show and example

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A scatter plot uses dots to represent values for two different variables, one is plotted on the x-axis, while the other is on the y-axis.

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3 years ago

The expression 96^2 - 95^2 is a difference of two squares. How can you use the factors (96 - 95)(96 +95) to make it easier to si

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The first factor simplifies to 1 and the second factor simplifies to 191, which are very easy to evaluate. Hence,

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Answer:

225cc

Step-by-step explanation:

the solution is attached to the picture.

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