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gayaneshka [121]
3 years ago
10

Consider the following equation. y = 1/3x + 10. Which of the following lines is perpendicular to the one a above ?

Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

D. Y=3x+10

Step-by-step explanation:

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Answer:

18.2

Step-by-step explanation:

A way we can find the average is by finding the mean.

Mean is found when you add up all the numbers and divide by the total amount of values there are.

In this case there are 5 values in total.

\frac{17+24+19+17+14}{5} = 91/5 = 18.2

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What is the fraction form of the following decimal expansion?0.1253
Ilya [14]
The answer is 1253/10,000
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Rudiy27

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3 years ago
What is the perimeter of CDE?
LuckyWell [14K]
<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

=============================================================

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

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3 years ago
Is 10x and 2.5x like terms
damaskus [11]
Yes they are both like terms so if they are in the same equation you can just add them together.
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