Step-by-step explanation:
STEP 1
Calculate the slope from 2 points.
STEP 2
Substitute either point into the equation. You can use either (3,7) or (5,11)
STEP 3
Solve for b, which is the y-intercept of the line.
STEP 4
Substitute b, -1, into the equation from step 2.
... undergoes development throughout the course of the story. They're dynamic, and change as the plot progresses.
<h3>
Answer: x = 7</h3>
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Explanation:
The largest rectangle (composed of the green and yellow sections combined) has area of 11*12 = 132 cm^2.
The yellow region takes up 112 of those 132 sq cm. This must mean the green region takes up 132-112 = 20 cm^2.
The horizontal portion of the green rectangle is 12-x cm. The vertical portion is 11-x cm. We can form the area of the green rectangle as an algebraic expression like so
area = length*width
area = (11-x)*(12-x)
area = 132 - 11x - 12x + x^2 .... apply the FOIL rule
area = x^2 - 23x + 132
Set this equal to the 20 cm^2 we found earlier.
x^2 - 23x + 132 = 20
x^2 - 23x + 132-20 = 0
x^2 - 23x + 112 = 0
We could factor or we could use the quadratic formula. I'll go with the second option.
We'll plug in a = 1, b = -23, c = 112

One of these solutions isn't feasible. Note how if x = 16, then this exceeds both the 11 cm and 12 cm sides. So this x value is not possible.
However, x = 7 is possible.
If x = 7, then the horizontal portion of the green rectangle is 12-x = 12-7 = 5 cm. Also, the vertical portion of the green rectangle would be 11-x = 11-7 = 4 cm. The area then is length*width = 5*4 = 20 cm^2 which matches up with what we got earlier. So the answer is confirmed.
Answer:
0.6 liters left
Step-by-step explanation:
So we know that the container is filled with 2 liters.
We also know that he poured 1.4 liters out of the container.
This leads to the conclusion
2 - 1.4 = 0.6
Examples of constant :
2, 5, 0, -3, -7, 2/7, 7/9 etc.
Examples of variable :
The letters x, y, z, a, b, c, m, and n