Answer:
D. (4,9)
Step-by-step explanation:
Answer:
7.039, 7.39, 7.3952, 7.5
Step-by-step explanation:
Sent a picture of the solution to the problem (s).
Answer: y = 3x/2 + 8
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
y = - 2x/3 + 5
Comparing with the slope intercept form, slope = - 2/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (2, 11) is 3/2
To determine the y intercept, we would substitute m = 3/2, x = 2 and y = 11 into y = mx + c. It becomes
11 = 3/2 × 2 + c
11 = 3 + c
c = 11 - 3 = 8
The equation becomes
y = 3x/2 + 8
To find the perimeter of the rectangle, you would add all sides or use P=2L+2w (Perimeter = 2 times the length plus 2 times the width)
P= 2(3x-3) + 2(x-3)
P=6x-6+2x-6
P=8x-12
To find the perimeter of the triangle, add all the sides.
P=(2x-1)+2x+(2x-1)
P=6x-2
Now we know that both of the perimeters are the same so we can set them equal to each other.
8x-12 = 6x-2 solve by subtracting 6x from both sides.
2x-12 = -2 then add 12 to both sides
2x=10 last divide by 2 on both sides
x=5
Now replace x with 5 on either the rectangle or the triangle. I will use the triangle.
P=(2x-1)+2x+(2x-1)
P=(2*5-1)+2*5+(2*5-1)
P=28 feet