<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
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Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
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6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
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x = 6 which is the width
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It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
1) , 2) , 3)
Step-by-step explanation:
The actual distances are computed below:
1) The actual distance is:
2) The actual distance is:
3) The actual distance is:
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
- There are <u>3 feet in 1 yard</u>
Converting yards to feet, wee need to multiply the number of yards by 3
Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
Y=mx+b
2y-3x=7
2y=3x+7
y=3/2x+7/2
slope(m) = 3/2
In order to find the Y intercept you have to have at least one pair of coordinates from the line and plug it into the slop intercept formula OR you can just look at y=3/2x+7/2 on a graph to see where the line crosses the y-axis with the x value of zero , unfortunately I don't have a graphing calculator and you did not provide coordinates but hopefully this helped c: !