Answer:
Length = 2x + 5
Width = x + 3
Step-by-step explanation:
Area of rectangle = length × width
Expression for area of the rectangle = 2x² + 11x + 15
Factorising the quadratic expression
2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)
Length = 2x + 5
Width = x + 3
Using the points (0,14) and (10,0), the gradient of the line is (14-0)/(0-5) which simplifies to -7/5.
From these points, we can also see that when the x value is zero, the y value is 14. Therefore the y-intercept is 14.
We can then put this into the equation of a straight line, y=mx+c:
y = (-7/5)x + 14
Answer:
21 x 3.1 / 2 = 32.55
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm assuming you are trying to find m. In order to do so, you need to get m on one side.
Before doing that let's multiple -2 and -3m by 
add 
to both sides
I would get rid of the fraction so I'd multiply both sides by 
divide both sides by -12m
which can be simplified to
ALL UNLESS THAT IS A POWER
Answer:
-96
Step-by-step explanation:
15+11=26+7=33+(-129)=-96
