Answer: 5 Units
Step-by-step explanation:
Answer: (3)
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
Y = -1/2x - 3
You can find this by first taking the slope of the original two points on the line, which is 2. You then take the opposite, inverse of that to find the new line's slope (perpendicular). So, we use -1/2. You can then find a line that uses that slope and the extra point by using either point-slope form and solving or slope intercept form.
You want to find y so it should start with y=
then the next piece that is unknown is the number of months, but you know there are 3 new ones each month so you know you have to have 3x so you have y=3x
and then you can't forget to keep the original 25 on the team so y=3x+25