Step-by-step explanation:

<span>The is true about the value of absolute |-14| = 14</span>
Answer:
11.6 ft
Step-by-step explanation:
I attached a diagram for you to easily visualize this problem.
To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.
Substitute 3, 12, and x into the pythagorean theorem like so.
a^2 + b^2 = c^2
3^2 + x^2 = 12^2
Evaluate the exponents.
9 + x^2 = 144
Subtract 9 from both sides.
x^2 = 135
Square root both sides.
x = 11.618
Round this to the nearest tenth: 11.6 feet.
Answer:
-3x - 30
Step-by-step explanation:
Distribute (multiply) the -3 to everything in the parentheses.
-3 (x + 10)
-3 * x = -3x -3 * 10 = -30
Answer: -3x - 30
Answer:
-1/2
Step-by-step explanation:
Slope is defined as change in x/change in y.
The x changed by 1/8-(-1/4)=3/8 and the y changed by -4-(-1/4)=(-3/4).
Now, divide the 2 fractions:
(-3/4)/3/8 = -3/4*8/3 = -4/8 = -1/2