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3 years ago

GCF 6x and 20xyz please help

1 answer:

8 0

GCF stands for "greatest common factor". This means what is the largest quantity you can divide into 6x and 20xyz without a remainder. First see what is the biggest number you can divide 6 by and also 20 without having a remainder. Next, you should see which variables 6x and 20xyz have in common. variables are the (x,y, and z). Put these two values togther and this will be your GCF.

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Find the volume of a traingular prism that has a triangular base of 8 with a prism height of 6

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8 0

3 years ago

What is the derivative of 2te^-t

Sveta_85 [38]

$(2te^{-t})'=(2t)'e^{-t}+2t(e^{-t})'=2e^{-t}+2t(-e^{-t})=2e^{-t}-2te^{-t}$

6 0

3 years ago

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notsponge [240]

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3 0

3 years ago

The lateral edge PA of a triangular pyramid ABCP is perpendicular to the base and PA = 2sqrt5 in. The base edges AB = 10 in, AC

DIA [1.3K]

Answer:

PQ = √84 = 2√21 in ≈ 9.165 in

Step-by-step explanation:

The base edges AB = 10 in, AC = 17 in, and BC = 21 in

Q ∈ BC and AQ is the altitude of the base.

Let BQ = x in ⇒ CQ = (21 - x) in

ΔAQB a right triangle at Q

∴ AQ² = AB² - BQ² = 10² - x² ⇒(1)

ΔAQC a right triangle at Q

∴ AQ² = AC² - CQ² = 17² - (21-x)² ⇒(2)

Equating (1) and (2)

∴ 10² - x² = 17² - (21-x)²

∴ 10² - x² = 17² - (21² - 42x + x²)

∴ 10² - x² = 17² - 21² + 42x - x²

∴ 10² - 17² + 21² = 42x

∴ 42x = 252

∴ x = 252/42 = 6

Substitute at (1)

∴ AQ² = AB² - BQ² = 10² - x² = 100 - 36 = 64 = 8²

∴ AQ = 8 in

∵ The lateral edge PA of a triangular pyramid ABCP is perpendicular to the base

∴ PA⊥AQ

∴ ΔPAQ is a right triangle at A,

PA = 2sqrt5 in and AQ = 8 in

∴ PQ (hypotenuse) = √(PA² + AQ²)

∴ PQ = √[(2√5)² + 8²] = √(20+64) = √84 = 2√21 in ≈ 9.165 in

6 0

3 years ago

These two rectangles are similar. Which is a correct proportion for corresponding sides?

Keith_Richards [23]

Answer:

option (2) is correct.

$\frac{4}{8}=\frac{12}{x}$

Step-by-step explanation:

Given two similar rectangles and with dimension of sides,

we have to choose the correct proportion for corresponding sides.

Since, the rectangles given are similar rectangles.

So, the corresponding sides are in same proportion in case of similar figures,

So,

$\frac{4}{8}=\frac{12}{x}$

Thus, option (2) is correct.

7 0

3 years ago

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