Answer:
<h3><em>
40,08791209</em></h3>
Step-by-step explanation:
ANSWER
EXPLANATION
The given quadratic equation is:
We rewrite in the standard quadratic equation form to obtain,
Comparing this to the general standard quadratic equation.
We have my
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
lets assume one number is x
then 2nd number will be 5x-2
so product is 120
x (5x-2) = 120
5x^2 - 2x = 120
so answer is last option
Answer:
the total difference in height will be 22 inches
Step-by-step explanation:
since the slope is 0.5 inch per foot, and the patio is 44 feet wide, the end of the patio will be 0.5 x 44 = 22 inches lower
the slope measures how much the height (Y axis) will change as the length (X axis) increases by 1 unit. In this case, since the height decreases as the length increases the slope is negative.
