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➷ Pick any two sets of values
I will just select the first two:
(-2,-9) , (1,3)
First, you need to find the slope
slope = difference in y values / difference in x values
slope = (3-(-9)) / (1-(-2))
slope = 12 / 3
slope = 4
Substitute the slope into the general equation of a line form with one of the coordinates:
3 = 4(1) + c
3 = 4 + c
c = -1
The equation would be y = 4x - 1
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Answer:
200
Step-by-step explanation:
The area of the trapezoids are
x 6 = 60. 60x2 = 120. Area of kite is product of diagonals/2. Diagonals are 8 and 20.
= 80. 120 + 80 = 200
Let x= last years salary. And 1.05 represents pay raise which 100% plus the 5%. 1.05(x)= 39375 you solve for x which gives you 37500
The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 =
1.555 × 0.05 =
2.75In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 =
70B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use
5.5 gallons of gasoline.