Answer:
4n^2
Step-by-step explanation:
8n+4n^2-8n
The first 8n + the other 8n is 0 because you combine like terms
Answer:
the volume of the rectangular prism is 100 ft³
Step-by-step explanation:
Given;
area of top face of a rectangular prism, A = 20 ft²
height of the rectangular prism, h = 5 ft
Volume of the rectangular prism = Area of top face x height of the rectangular prism
Volume of the rectangular prism = A x h
Volume of the rectangular prism = 20 ft² x 5 ft
= 100 ft³
Therefore, the volume of the rectangular prism is 100 ft³
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Answer:
x < -6
Step-by-step explanation:
-3x > 18
Divide both sides by -3
-3x/-3 < 18/-3
Note : in inequalities when both sides are divided by negative or minus, the inequality sign changes.
Therefore
x < -6
There's no difference as the equations are the same
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