The slope of each line segment of ΔQRS are-
- QR = 3/10
- RS = - 10/3
- QS = -7/13
<h3>What is meant by the slope of the line?</h3>
- A slope of a line is defined in mathematics as the change in y coordinate to regard to the shift in x coordinate.
- The net change in y-coordinate is denoted by Δy, whereas the net change in x-coordinate is denoted by Δx.
For the given question,
The coordinates of each vertices of the triangle are-
Q = (-7, -2)
R = (3, 1)
S = (6, -9)
The formula for the slope of the line segment.
Slope = m = (y2 - y1)/(x2 - x1)
Slope QR = (1 + 2)/(3 + 7)
Slope QR = 3/10
Slope RS = (-9 - 1)/(6 - 3)
Slope RS = - 10/3
Slope QS = (-9 + 2)/(6 + 7)
Slope QS = -7/13
Thus, the slope of the each line segment of the given triangle QRS is found.
To know more about the slope of the line, here
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Answer: the system of equations are
x + y = 22
x + 1.5y = 30
Step-by-step explanation:
Let x represent the number of math problems that Olivia solved.
Let y represent the number of pages that Olivia read.
Olivia completed a total of 22 math problems and pages of reading. This means that
x + y = 22- - - - - - - - - - - - - - -1
Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that
x + 1.5y = 30 - -- - - - - - - - - -2
Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day.
