We know: length of a rectangle is 7m less than three times the width.
So let's set the length to l, width to w.
And we can get that l = 3w-7.
We also know that the area of the rectangle is 66 m^2.
Thus, l*w= 66.
So we have:
function 1: l=3w-7
function 2: l*w=66
plug function 1 to 2.
(3w-7)*w=66
3w^2-7w-66=0
w=6 and -11/3.
And the width of a rectangle can not be negative.
So: w=6.
Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.
l=3*6-7=11.
So: the width of the rectangle is 6, and the length of the rectangle is 11.
Answer:
d) not proportional
Step-by-step explanation:
the rate of change between the first two pairs of x-and-y values is 12/3, between the second pair it is 21/3, and 15/3 between the last pair
4, 7, and 5 are all different values so there is not one constant of proportionality
I’m not sure what the negative fours are at the end of your problem are for, but the slope of the line passing through those points is 4.
The line itself is y = 4x - 11
3 × 4 × 5 = 20 · x
12 × 5 = 20x
60 = 20x
20 20
3 = x
The missing number in a sentence is 3.
