A.
b = 16 units and h = 9.6 units
B.
b = 20 units and h = 16 units
C.
b = 20 units and h = 9.6 units
D.
b = 20 units and h = 12 units
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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the total cost of renting a bicycle for h hours?
The missing choices are:
A. C = 9h + 4
B. C = 4h + 9
C. C = 4(h - 1) + 9
D. C = 13h
C = 4(h - 1) + 9 represents this situation ⇒ answer C
Step-by-step explanation:
The given is:
We need to find which of the following represents this situation
∵ The cost of renting a bicycle is $9 for the first hour
∵ Another $4 for each additional hour
∵ h represents the number of hours
- Add the cost of the first hour to the cost of the remaining hours
∵ The remaining hours = h - 1
∴ The cost of the remaining hours = 4(h - 1)
∵ C is the cost of renting the bicycle for h hour
- Add 9 to 4(h - 1) to find C
∴ C = 4(h -1) + 9
C = 4(h - 1) + 9 represents this situation
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
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B) 90 + 4y
C) 180 - 4y
D) 180 + 4y
Answer:
D
Step-by-step explanation:
So B is halfway between 0 and 1. What's half of 1? 1/2.
A is halfway between 0 and B. What's half of 1/2? 1/4.
So A is 1/4 of 1.
Alternatively -
0 - A - B - - - 1
If each - is an eighth, A is at 2/8, or 1/4