L x W = 105
L + W = 26 so L = 26 - W
substitute L = 26 - W into L x W = 105
(26 - W) x W = 105
26W - W^2 = 105
W^2 - 26W + 105 = 0
(W - 21)(W - 5) = 0
W - 21 = 0; W = 21
W - 5 = 0; W = 5
The the dimensions of the rectangle are 5 ft and 21 ft.
Double check:
The sum of the length and the width is 26 feet: 21 + 5 = 26 feet
A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet
Answer:
x= -1
-1 =4
Step-by-step explanation:
Answer:
y = x - 23
Step-by-step explanation:
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
