Answer:20- 2 x (5 +2)
Step-by-step explanation:
20 - 2 x (5 + 2)
20 - 2 x (7)
20 - 14
6
-6x - 10 > 14 + 2x
<u>-2x </u> <u> -2x </u>
-8x - 10 > 14 THIS IS THE MISSING STEP
<u> +10</u> <u>+10 </u>
-8x > 24

x < -3
Answer: x < -3
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):

Multiply both sides by 1.6:

This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:

The length of side AC, the hypotenuse, is 4 inches.
Answer:
Step-by-step explanation:
So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.
Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.
So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.
Answer:

Step-by-step explanation:
Point-slope form:
where a given point is
and the slope is 
<u>1) Find the slope of the line (m)</u>
Slope =
where the given points are
and 
Plug in the points (-7,1) and (-3,9)

Therefore, the slope of the line is 2. Plug 2 into the equation as m:

<u>2) Plug one of the given points into the equation</u>
We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):

I hope this helps!