Answer:
Option A
Step-by-step explanation:
2x^2+10x+12
Divide through by 2
x^2 +5x+6=0
x^2 +3x+2x+6
x(x+3)+2(x+3)=0
(x+2)(x+3)=o
x=-2 or x=-3
1. 3(6+4m) + 5m
2. Distribute the 3 to the inside of the brackets = 18 + 12m + 5m
3. 17m+18
Hope this helps!
The common factor of 7 and 15 is 1
69180 is already in standard form. Its a trick question.
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).