Label the given points as follows:
A (0, 5)
B (2, 2)
C (3, 1)
D (4, -1)
The straight line has a constant slope. Therefore it should have the same value when any two of the four points are used to calculate the slope.
Try A and B:
Slope = (2 - 5)/(2 - 0) = -3/2
Try A and C:
Slope = (1 - 5)/(3 - 0) = -4/3
Try A and D.
Slope = (-1 - 5)/(4 - 0) = -3/2
Try B and D.
Slope = (-1 - 2)/(4 - 2) = -3/2
Clearly, C does not lie on the straight line.
Answer: The point that the graph does not pass through is (3,1).
Answer:
300 Kilo-meters
Step-by-step explanation:
Since 4 / 5 of a liter runs for 12 kilo-meters and you need to find how much 20 liters would run, you need to find how much a liter can run for.
L is the variable for which how much a liter can run for. Which is what we need to solve.
4 / 5 x L = 12
To isolate L, you need to multiply both sides by 5/4 since multiplying a number by its reciprocal produces one. Note: A reciprocal is a number where the denominator and numerator are switched. Example: 2/3 and 3/2 multiplying it with each other get 6/6 which is 1.
4 / 5 x 5 / 4 x L = 12 x 5 / 4
L = 12 x 5 / 4
L = 60/4
L = 15
Now you know that each liter is worth 15 kilo-meters and you need to find how much 20 liters will run for.
20 x L = Kilo's Ran
20 x 15 = Kilo's Ran
300 = Kilo's Ran
20 Liters will run for 300 Kilo-meters.
I Hope This Helps You :)
Answer:
d = 52
Step-by-step explanation:
The two angles form a straight line so they are supplementary
Supplementary angles add to 180
d+128 = 180
Subtract 128 from each side
d+128-128 = 180-128
d = 52
Answer:
Equation 1 x=-16
Equation 2 m=-3
Step-by-step explanation:
Equation 1
3x-x=-24-6
2x=-32
x=-32/2
x=-16
Equation 2
-2m=16-10
-2m=6
m=6/-2
m=-3