Answer:
(500,0) , (300,0), (200,200) and (300,200)
Step-by-step explanation:
The region of the graph we are concerned with is that small portion which is shaded.
We need the coordinates that bounds this portion of the graph.
These coordinates are four in number and they are as identified by noticing the four points that surround the portion then making tracings from these points to the x and y axes respectively.
We proceed as follows;
The four points we are looking at in no particular order are;
(500,0) , (300,0), (200,200) and (300,200)
The points having coordinates that have y = 0 are those that are domiciled on the x-axis
We have two of these points which are on the x-axis.
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Combine like terms:
-r-10r
We can always add variables as long as they are the same. So we can not add 10x+20y. That's impossible.
We can't add 3r^2+10r. That's also impossible.
However, we have the same variable, r. So we can add -r-10r. And the answer is:
-11r
Hope this helps! :)
Answer:
x = ±sqrt(5/2)
Step-by-step explanation:
6x^2−2=13
Add 2 to each side
6x^2−2+2=13+2
6x^2 = 15
Divide each side by 6
6/6x^2 = 15/6
x^2 = 5/2
Take the square root of each side
sqrt(x^2) = ±sqrt(5/2)
x = ±sqrt(5/2)
Elizabeth’s Pizza sold 13 total pizzas yesterday.