Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5
If you're familiar with the quadratic equation

well,

is the x component of the vertex, in your case, the vertex is the highest point
figure out what t is at the highest point, and then substitute that back into the equation in order to determine height
x=t in this problem
Hi there!
Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.

Step 1) Add 8y to both sides.

Step 2) Divide both sides by 6.


Final Answer -

Hope this helps! :D
∠D= 87°, ∠E = 50°
Sum of three angles in a triangle is 180°
∠F = 180 - (∠D + ∠E)
∠F = 180 - (87 + 50)
∠F = 180 - 137
∠F = 43°
Side opposite to greatest angle is the longest side.
Among angle D, E and F, angle D is the greatest angle
So side opposite to angle D is the longest side which is EF
Option B is the answer
Answer:
48
Step-by-step explanation:
16*3=48