(6, 8)
(6, 8) is the solution to the system of equations.
Use a matrix to find the solution to the system of equations.
{-8x-8y=-16
{6x-9y=-108
(–6, 8)
(–6, 8)
(6, 8)
(6, 8)
(8, –6)
(8, –6)
(6, –8)
(6, –8)
3 answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The length of a rectangle is 8.75 cm more than 3 times the width. If the perimeter of the rectangle is 89.5 cm, what are its dimensions?
The length of a rectangle is 8.75 cm more than 3 times the width. If the perimeter of the rectangle is 89.5 cm, what are its dimensions?
Let's assume the width of the rectangle is x cm.
According to the given information, the length of the rectangle is 8.75 cm more than 3 times the width.
So, the length of the rectangle would be (3x + 8.75) cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Substituting the length and width values into the equation, we get:
89.5 = 2((3x + 8.75) + x)
Simplifying the equation:
89.5 = 2(4x + 8.75)
89.5 = 8x + 17.5
Rearranging the equation:
8x = 89.5 - 17.5
8x = 72
Dividing both sides by 8:
x = 9
So, the width of the rectangle is 9 cm.
Substituting this value back into the length equation:
Length = 3x + 8.75
Length = 3 * 9 + 8.75
Length = 27 + 8.75
Length = 35.75
Therefore, the dimensions of the rectangle are:
Width = 9 cm
Length = 35.75 cm
According to the given information, the length of the rectangle is 8.75 cm more than 3 times the width.
So, the length of the rectangle would be (3x + 8.75) cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Substituting the length and width values into the equation, we get:
89.5 = 2((3x + 8.75) + x)
Simplifying the equation:
89.5 = 2(4x + 8.75)
89.5 = 8x + 17.5
Rearranging the equation:
8x = 89.5 - 17.5
8x = 72
Dividing both sides by 8:
x = 9
So, the width of the rectangle is 9 cm.
Substituting this value back into the length equation:
Length = 3x + 8.75
Length = 3 * 9 + 8.75
Length = 27 + 8.75
Length = 35.75
Therefore, the dimensions of the rectangle are:
Width = 9 cm
Length = 35.75 cm