Answer:

Step-by-step explanation:

Answer:
Hi there!
Your answer is:
-5c
The full equation is:
0= 5c + (-5c)
Step-by-step explanation:
The additive inverse is whatever two numbers, when added, equal 0. We have a positive 5c here. To get rid of 5c, we must subtract 5c from 5c
I hope this helps!
<span>We simplify the equation to the form, which is simple to understand
<span>7x-1/2(8x+4)=6
</span></span><span>Simplifying:
<span>7x-0.5*(8x+4)=6
</span></span><span>Reorder the terms
<span>7x+(-4x-2)=6
</span></span><span>Remove unnecessary parentheses
<span>+7x-4x-2=+6
</span></span><span>We move all terms containing x to the left and all other terms to the right.
<span>+7x-4x=+6+2
We simplify left and right side of the equation.
<span>+3x=+8
We divide both sides of the equation by 3 to get x.
<span>x=2.66666666667</span></span></span></span>
Answer:
<em>Approximately 43 feet of minimum cable is needed. </em>
Step-by-step explanation:
This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (<em>which are known to have one 90° angle</em>). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:
Eqn. (1)
where
is the hypotenuse
is a side
is a side
<u>Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. </u>Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have
and
. Plugging in Eqn.(1) and solving for
we have:

So we conclude that the minimum length of cable needed by Lamont is
≈43 feet (rounded up).