First you need to find the slope.
You do this by adding x to both sides to get 3y=x-12
Then, you divide by three on both sides to get y=1/3x -4
to find the new y intercept you insert the point and the slope in the equation
2=1/3(18)+b
You multiply 1/3 and 18 to get 2=6+b
Finally you subtract 6 on both sides to get -4=b.
This means that the equation of the line is the same as the given line
Hi!!
Okay, the discriminant is -36, and using the quadratic equation, it should be
-1 +/- 3<em>i</em>
We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.
x + 4 + 3x^2 - 8 || Write it out!
3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!
3x^2 + x - 4 || Combine like terms!
Hope this helps!! :)
Answer:
t = 11.3 hours
Step-by-step explanation:
The formula d = rt stands for distance = rate x time. The problem gives you the rate, or r = 48.3 m/h, and the distance, or d = 545.79m. To solve for 't', you can plug the values given and divide:
d = rt or 545.79 = 48.3(t)
Divide both sides by 48.3: 545.79/48.3 = 48.3t/48.3
Solve for t: t = 11.3 hours
The answer should be 112 degrees