Given:
The expression is
To find:
The factored form of given expression after factor out the coefficient of the variable term.
Solution:
We have,
Here, the coefficient of variable n is 
.
It can be written as
Taking out as common factor, we get
Therefore, the factored from of given expression is 
.
A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.
In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:
m = (y₂ - y₁) / (x₂ - x₁)
m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8
Since m(FH) and <span>m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.</span>
Answer:
x= 9/5
Step-by-step explanation:
Once you divide 10 in both sides of the equation, you'll get 18/10. So, what you need to do is simplify the fraction, and you'll end up with 9/5
T = Tim, S = Sara, M = Mark
T = 2/3S
S = 3/5M, M = 5/3S
M - 9 = T
5/3S - 9 = 2/3S
S = 9
