There is 1000 milliliters in a liter. So we're gonna work with thirds. One third is already filled, so that means two thirds is not . So 4 liters fills up 2/3 which we can infer that 2 liters fills up one third of the area... so there is 6 liters in total. Which means there is a total of 6000 milliliters of paint.
Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1
For this you'd need to use the Pythagorean Theorem to find the short leg.
Pythagorean Theorem - a^2 + b^2 = c^2
A)
The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have the points (2, 5.1) and (-1, -0.5). Substitute:
Therefore we have:
Put the coordinates of the point (-1, -0.5) ot the equation:
<em>multiply both sides by 2</em>
<em>add 
to both sides</em>
<em>divide both sides by 2</em>
Answer: 
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B)
We have the points (-2, 3) and (3, -4).
Calculate the slope:
Therefore we have:
Put the coordinates of the point (-2, 3) to the equation of a line:
<em>subtract 
from both sides</em>
Answer: 
Answer: Choice C) Infinitely many solutions
If you solve the first equation for y, you get
2y = 14 - 2x
2y = 14 + (-2x)
2y = -2x + 14
2y/2 = (-2x)/2 + 14/2 ... divide every term by 2
y = -x + 7
This result of y = -x+7 is identical to the second equation in the system. So the two graphs are going to be the same. We only produce one line. One graph is right on top of the other. The two lines will intersect infinitely many times. Any point on the blue line is a solution to the system.
