Area of a rectangle = l * w
A = Area of a rectangle
l = length
w = width
In our problem,
l = x
w = x - 3
A = 180 square inches
Plug our numbers into the area formula of a rectangle
180 square inches = x(x-3)
Distribute the x into (x-3)
180 square inches = x^2 - 3x
subtract 180 from both sides
0 = x^2 - 3x -180.
Factor the express on the left side of the equation
0 = (x-15) (x+12).
Set each term equal to zero and solve for x
x+12 = 0.
Subtract 12 from both sides
x = -12 <--- lengths of a rectangle cannot be negative, therefore, we need to check the other term we factored.
set x-15 equal to zero
x-15 = 0.
Add 15 to both sides
x = 15.
We know l = x so now we know that the length i = 15 inches.
We also know that the width = length - 3
w = 15 - 3
w = 12
The width is 12 inches and the length is 15 inches
Answer:
17 is the correct answer
Step-by-step explanation:
2(10-4)+5=
10-4 = 6
2*6 = 12
12+5 = 17
Answer:
2 real solutions
Step-by-step explanation:
y = -x^2 + 3x + 5
First find the the discriminant:
using b² - 4(a)(b)
(3)²- 4(-1)(5)
=9+20
=29
since the discriminant is more than 0, there are 2 real solutions
Answer: There are 3 terms
Step-by-step explanation: You count the abcd as 1 term because it is all multiplied together, the e term is counted as another term, so there are 2 terms, and the n2 term is counted as a term getting you 3 terms in total.