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3 years ago

Factor out the greatest common factor of the expression below using the distributive property.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

6 0

Greatest common factor which is 30

sashaice [31]3 years ago

4 0

It's a. Because 30 is the highest number that works out of those. (Also 3 and 2 are prime so it can't get smaller than that:) If you need an explanation of how this works, just ask. Hope it helps:)

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

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What is the slope of the line that passes through (-5,-2) and ( 7, -2)

denis23 [38]

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slope = difference in y / difference in x

Sub the values in:

slope = (-2- -2) / (7 - -5)

slope = 0 / 12

The slope is 0.

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murzikaleks [220]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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