The answer is x=4.
set the equations up: 8x-5=6x-3
Subtract 6x from one side and then the other side 2x-5=3
Add 5 from one side and then the other 2x=8
Divide 2 on each side which gets you x=4
(m+4)(m+1)
=m^2+5m+4........
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
Simplifying
8x + -6 = 7x + 10
Reorder the terms:
-6 + 8x = 7x + 10
Reorder the terms:
-6 + 8x = 10 + 7x
Solving
-6 + 8x = 10 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-6 + 8x + -7x = 10 + 7x + -7x
Combine like terms: 8x + -7x = 1x
-6 + 1x = 10 + 7x + -7x
Combine like terms: 7x + -7x = 0
-6 + 1x = 10 + 0
-6 + 1x = 10
Add '6' to each side of the equation.
-6 + 6 + 1x = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 1x = 10 + 6
1x = 10 + 6
Combine like terms: 10 + 6 = 16
1x = 16
Divide each side by '1'.
x = 16
Simplifying
x = 16
HOPE I HELPED!!! :)
Answer:
D
Step-by-step explanation:
group them first :
( x3+5x2) and ( -6x-30)
then simply by gcf ( greatest common factor) :
x2(x+5) and -6(x+5)
and just add them together:
x2(x+5)-6(x+5)
bonus :
it can be written as (x2-6)(x+5)
