1. Intersection
2. complement
3. Union
4. finite set
5. disjoint sets
6. proper subset
7. subset
Any right triangle fulfills the pythagorean theorem:
This means that if we plug the values in the theroem and this holds the triangle is a right one.
In this case a=2 b=3 and c=4. Plugging this values in the theorem we have:
Since the last line of the equations above is not true we conclude that the triangle is not a right triangle.
Answer:
Step-by-step explanation:
Please refer to the attached image.
Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.
Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).
Now let's use the formula for the slope (m) given two points
If we assign , and the slope becomes:
Then the parallel line we are going to build should also have slope "1/2"
Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:
where is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:
which is the third option among your list of answers.
Okay so we have 528 students. Each row has 33 seats. To find the number of rows needed, you simply divide 528 students by 33 seats.
528/33 = 16 rows.
Answer:
Verteran's Plan: y=15x+40
Beginner's Plan: y=10x+60
Step-by-step explanation:
To find slope take two points and subtract them together to find the slope. To find the initial value it's where the line first hits the y-axis.