Figure out the length of the rectangle by using the diameter of the 2 circles added together then work out the width by using the diameter of one circle (since the vertical diameter will be the same length as the width if that makes sense)
Answer:
q + 7
Step-by-step explanation:
(q² + 4q − 21) / (q − 3)
Factor the numerator:
(q + 7) (q − 3) / (q − 3)
Divide:
q + 7
20 pounds red licorice and 10 pounds lemon drops.
can be factored into
. To double-check, you can multiply the terms together again using FOIL: first, outside, inside, last.
(3x)(x) + (3x)(8) + (-1)(x) + (-1)(8)
3x² + 24x - x - 8
3x² + 23x - 8
Check.
Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w

subtract 21 on both sides

now solve for 'w'

0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards