Answer:
30.
Step-by-step explanation:
6 = 2 * 3
5 = 5
LCM = 2 * 3 * 5 = 30.
You are going to add like terms so the only one you add will be 6 and 3
-8q^2-5q+9
Answer:
60
Step-by-step explanation:
x and 2x are linear pair angles.
Sum of linear pair angles is 180,
x + 2x = 180
3x = 180
x = 180 / 3
x = 60
Therefore,
the value of x is 60.
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
We assume you want to find y such that ...
Dividing the second equation by 2, we can write an expression for x.
x +2y = -2
x = -2y -2
Substituting this into the first equation gives ...
y = 3(-2y -2) +6
y = -6y -6 +6 . . . eliminate parentheses
7y = 0 . . . . . . . . . add 6y
y = 0 . . . . . . . . . . divide by 7
The value of y in the system of equations is 0.
Answer: length = 14 meters
Width = 10 meters
Step-by-step explanation:
The rectangular tennis court has two equal lengths,L and two equal widths,W
The area of the tennis court is expressed as
Area = Length × width
The area is given as 140 square meters. It means that
L× W = 140
It's length is 6 meters less than twice it's width. It means that
L = 2W - 6
Substituting L = 2W - 6 into LW = 140, it becomes
W(2W - 6) = 140
2W^2 - 6W = 140
2W^2 - 6W - 140 = 0
W^2 - 3W - 70 = 0
W^2 + 7W - 10W - 70 = 0
W( W + 7 ) - 10( W + 7) = 0
( W + 7 )(W - 10) = 0
( W + 7 ) = 0 or W - 10 = 0
W= -7 or W = 10 meters
The value cannot be negative so W = 10
L = 2W - 6 = 2×10 - 6
L = 20 - 6 = 14 meters
