48 kilometers in 3 hours =
2 answers:
You might be interested in
The given system of equations in augmented matrix form is
If you need to solve this, first get the matrix in RREF:
- Add 2(row 1) to row 2, row 1 to -3(row 3), and 2(row 1) to 3(row 4):
- Add 11(row 2) to -5(row 3), and 19(row 1) to -5(row 4):
- Add 164(row 3) to -91(row 4):
- Multiply row 4 by 1/13080:
- Add -153(row 4) to row 3:
- Multiply row 3 by -1/91:
- Add 6(row 3) and -8(row 4) to row 2:
- Multiply row 2 by 1/5:
- Add -2(row 2), 4(row 3), and -2(row 4) to row 1:
- Multiply row 1 by 1/3:
So the solution to this system is .
The equation of the line in the point-slope form is y - 15 = (x - 10)
Step-by-step explanation:
The point-slope form of a linear equation is , where
- m is the slope of the line, where
,
and
are two points on the line
∵ Point A = (10 , 15)
∵ The x-coordinate of the second point is 125% of x-coordinate
of point A
∴ x-coordinate of second point = × 10
∴ x-coordinate of second point = 12.5
∵ The y-coordinate of the second point is 75% of y-coordinate
of point A
∴ y-coordinate of second point = × 15
∴ y-coordinate of second point = 11.25
∴ The coordinates of the second point are (12.5 , 11.25)
Let us find the slope of the line by using the rule of it above
∵ = (10 , 15)
∵ = (12.5 , 11.25)
∴
Now we can write the equation
∵ The point-slope form is
∵
∵ = (10 , 15)
- Substitute these values in the form of the equation
∴ y - 15 = (x - 10)
The equation of the line in the point-slope form is y - 15 = (x - 10)
Learn more:
You can learn more about the linear equation in brainly.com/question/4152194
#LearnwithBrainly