The perpendicular equation is y = -3/2x - 4.
You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 2/3 we flip it and make it a negative and the new slope is -3/2. Now we can use that and the point to get the y intercept using slope intercept form.
y = mx + b
5 = (-3/2)(-6) + b
5 = 9 + b
-4 = b
And now we can use our new slope and new intercept to model the equation.
y = -3/2x - 4
Subtract 6x over so you have y - 6x = 11, and 2y - 4x = 14. This is a system of equations. Multiply the first equation by 2 to get 2y - 12x = 22. By subtracting the second equation from the first, you get 8x = -8. So, x = -1. Plug that into the first equation and y = 5. Plug both of those answers into the equation to check. 2(5) - 4(-1) = 14, 14 = 14. The answers y = 5, and x = -1 check out.
Answer: 1.25
Step-by-step explanation:
To solve this, we.will use the formula,
y = kx
where,
y = water depth
k = constant of proportionality
x = time
Using y = kx
2.5 = 2k
k = 2.5/2
k = 1.25
Also,
y = kx
3.75 = 3k
k = 3.75/3
k = 1.25
Answer:
4x+20
Step-by-step explanation:
You distribute 4 to x and 5. Which means you just multiply 4 to x and 5 since they're in the parenthesis. 4 times x is 4x and 4 times 5 is 20.
Answer:
The answer is B, C, and E
Step-by-step explanation:
I did this
