<span>2 x + 3 y = 6?
</span>x -intercept; y = 0 then <span>2 x + 3 (0) = 6; x = 3
</span>y -intercept; x = 0 then 2 (0)+ 3y = 6; y = 2
answer <span>1 ) x -intercept: (3, 0); y -intercept: (0, 2)</span>
Answer:
or
or 7.746...
Step-by-step explanation:
Use the Pythagorean Theorem because it is a right triangle. you would get
, and using the method of solving one-variable equations, you would do 64 - 4, which is 60, and then to further simplify, you would get the square root of 60.
Answer:1/25
Step-by-step explanation:
1/25 = (2/5)/p. This can be solved by cross-multiplying: p = 25(2/5) = 10. He can clean 10 pools in 25 hours.
Answer:
![y=4x+6](https://tex.z-dn.net/?f=y%3D4x%2B6)
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
We're given that the gradient of the line is 4. Plug this into
as m:
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
Plug in the given point (1,10) as (x,y) and solve for b
![10=4(1)+b\\10=4+b](https://tex.z-dn.net/?f=10%3D4%281%29%2Bb%5C%5C10%3D4%2Bb)
Subtract 4 from both sides to isolate b
![10-4=4+b-4\\6=b](https://tex.z-dn.net/?f=10-4%3D4%2Bb-4%5C%5C6%3Db)
Therefore, the y-intercept of the line is 6. Plug this back into
as b:
![y=4x+6](https://tex.z-dn.net/?f=y%3D4x%2B6)
I hope this helps!