Answer:
x+y=200
xy=9,600
Step-by-step explanation:
The diagram shows rectangular parking lot with sides of x feet and y feet.
1. The area of the rectangle is given by
A=Length \times Width
A = xy -------------------------(1)
We are given that the area of the parking lot is 9,600\ ft^2, then
eq(1) becomes
9,600 = xy ---------------------(2)
2. A parking lot has a 200ft fence built along two adjacent sides of lengths x and y, then
Then the perimeter of the two adjacent sides
x+y=200---------------------------------(3)
Thus ,The system of two equations are
x+y=200
xy=9,600
b.0.3
c.1/3
d.33.3
1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
Step-by-step explanation:
There are five set of points given in the question.
You need to find out the slope of the line formed by the points.
The formula used to find the slope of a line is given by,
Slope =
1) The given points are (0,0) and (2,1)
(x1,y1) ⇒ (0,0)
(x2,y2) ⇒ (2,1)
Slope =
⇒ 1/2 is the slope.
2) The given points are (0,-1) and (2,-5)
(x1,y1) ⇒ (0,-1)
(x2,y2) ⇒ (2,-5)
Slope =
⇒
⇒ -2 is the slope.
3) The given points are (0,7) and (2,4)
(x1,y1) ⇒ (0,7)
(x2,y2) ⇒ (2,4)
Slope =
⇒ -3/2 is the slope.
4) The given points are (-1,3) and (-1,-3)
(x1,y1) ⇒ (-1,3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ -6/0 (No slope)
If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.
∴ There is no slope.
5) The given points are (1,-3) and (-1,-3)
(x1,y1) ⇒ (1,-3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ 0/-2
∴ The slope is zero.
1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
The slope of a line represents the rate at which the line rises or falls as you move horizontally along it. It's calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.
1. (0, 0) and (2, 1):
Slope = (1 - 0) / (2 - 0) = 1 / 2 = 0.5
The slope is positive, indicating a rising line.
2. (0, -1) and (2, -5):
Slope = (-5 - (-1)) / (2 - 0) = -4 / 2 = -2
The slope is negative, indicating a falling line.
3. (0, 7) and (2, 4):
Slope = (4 - 7) / (2 - 0) = -3 / 2
The slope is negative, indicating a falling line.
4. (-1, 3) and (-1, -3):
Slope = (-3 - 3) / (-1 - (-1)) = -6 / 0
The denominator is zero, indicating a vertical line. Vertical lines have undefined slopes.
5. (1, -3) and (-1, -3):
Slope = (-3 - (-3)) / (-1 - 1) = 0 / -2 = 0
The slope is zero, indicating a horizontal line.
Learn more about slope here
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