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3 years ago

Simplify − 2 x × 2 x × x

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

-4x^3 (negative four x cubed)

Step-by-step explanation:

-2x X 2x X x

-4x^3

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Which numbers are a distance of 6 units from −2 on a number line

Firdavs [7]

The answer is 4 and -8

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4 years ago

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What is the perimeter of CDE?

LuckyWell [14K]

<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

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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

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RSB [31]

Answer:

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midpoint=(x1+x22,y1+y22)

Step-by-step explanation:

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3 years ago

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lozanna [386]

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4 years ago

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const2013 [10]

Answer:

The answer is D

Step-by-step explanation:

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3 years ago