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3 years ago

2x+22=4(x + 3). Can you help?

Mathematics

2 answers:

kozerog [31]3 years ago

8 0

2x+22=4(x+3)
2x+22=4x+12
2x+10=4x
10=2x
5=x

Hope this helps :)

enot [183]3 years ago

5 0

First, you will start with distributive property. on the right side you will distribute 4 into x and 3.

the equation will become:
2x + 22 = 4x + 12

then you have to get x on only one side of the equal sign. subtract 2x from 4x and the equation becomes:
22 = 2x + 12

subtract 12 from 22:
10 = 2x

divide 10 by 2:
5 = x
or
x = 5

(:

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dmitriy555 [2]

see the attached figure to better understand the problem

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Step 1

Find the value of AC

we know that

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

substitute the values in the formula

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

Step 2

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we know that

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Applying the Pythagorean Theorem

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

substitute the values

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Step 3

Find the value of BD

we know that

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Applying the Pythagorean Theorem

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

substitute the values

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the answer is

the length of BD is 11.93 units

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