It’s B 200 remainder 12.
If you multiply 200 with 13 you get 2600.
To find the remainder subtract 2612 with 2600 which leaves 12.
Answer:
(-6, 1)
Step-by-step explanation:
Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.
Difference in x from D to F:
-9 - (-1) = -8
5/8 * (-8) = -5
Difference in y from D to F:
-5 - 11 = -16
5/8 * (-16) = -10
x: -1 - 5 = -6
y: 11 - 10 = 1
Answer: (-6, 1)
Standard form is ax+by=c, we like a and b to be integers, we also like a to be positive
basically get x and y on one side
so
y-4=(3/4)(x+8)
distribte the 3/4
y-4=(3/4)x+6
minus 3/4x from both sides
-(3/4)x+y-4=6
add 4 to both sides
(-3/4)x+y=10
times both sides by -4
3x-4y=-40
Answer:
b. -x + y = 0
Step-by-step explanation:
<u />
<u>Direct variation</u>:
Direct variation means "y varies directly as x”:
![y \propto x \implies y=kx](https://tex.z-dn.net/?f=y%20%5Cpropto%20x%20%5Cimplies%20y%3Dkx)
where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.
<u>Equation a</u>
![y=\dfrac{4}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B3%7Dx-2)
This is not a direct variation equation as there is an addition of -2.
<u>Equation b</u>
![-x+y=0](https://tex.z-dn.net/?f=-x%2By%3D0)
![\implies y=x](https://tex.z-dn.net/?f=%5Cimplies%20y%3Dx)
This is a direct variation equation where the constant of variation is 1.
<u>Equation c</u>
![xy=8](https://tex.z-dn.net/?f=xy%3D8)
![\implies y=\dfrac{8}{x}](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cdfrac%7B8%7D%7Bx%7D)
This is not a direct variation equation as y is <u>inversely proportional</u> to x.
<u>Equation d</u>
![y=14](https://tex.z-dn.net/?f=y%3D14)
This equation does not include the variable x, and so is therefore not a direct variation equation.