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marin [14]
3 years ago
8

What is the solution to this inequality?4(2x + 2) + 12 > 100please help!!​

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Subtract 12 from both sides

4(2x + 2) > 100 - 12

Simplify 100 - 12 to 88

4(2x + 2) > 88

Divide both sides by 4

2x + 2 > 88/4

Simplify 88/4 to 22

2x + 2 > 22

Subtract 2 from both sides

2x > 22 - 2

Simplify 22 - 2 to 20

2x > 20

Divide both sides by 2

x > 20/2

Simplify 20/2 to 10

<u>x > 10</u>

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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
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ANSWER

-  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

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v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ 216.5}  =  \frac{ \sqrt{866} }{2}

The unit vector in the direction of this vector is

=  \frac{v}{ |v| }

= -   \frac{14.5}{ \frac{ \sqrt{866} }{2} } i +    \frac{2.5}{ \frac{ \sqrt{866} }{2} } j

=  -  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

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Step-by-step explanation:

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You divide 9 on both sides than it would be g=4
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3 years ago
Read 2 more answers
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