Answer:
It's A 5 12 & 13 make a right angle
You can use the ordered pairs to describe the translation that took place.
If you choose any vertex, you can use that to describe the translation that occurred with all vertices.
I'll look at N. Vertex N moved to the right 5 and up 7.
You can use the beginning and ending ordered pairs to see these distances.
Start: (-1, -1)
End: (4, 6)
-1 to 4 is 5 units
-1 to 6 is 7 units
Answer:
Step-by-step explanation:
The max and min values exist where the derivative of the function is equal to 0. So we find the derivative:
![y'=9x^2+28x-11](https://tex.z-dn.net/?f=y%27%3D9x%5E2%2B28x-11)
Setting this equal to 0 and solving for x gives you the 2 values
x = .352 and -3.464
Now we need to find where the function is increasing and decreasing. I teach ,my students to make a table. The interval "starts" at negative infinity and goes up to positive infinity. So the intervals are
-∞ < x < -3.464 -3.464 < x < .352 .352 < x < ∞
Now choose any value within the interval and evaluate the derivative at that value. I chose -5 for the first test number, 0 for the second, and 1 for the third. Evaluating the derivative at -5 gives you a positive number, so the function is increasing from negative infinity to -3.464. Evaluating the derivative at 0 gives you a negative number, so the function is decreasing from -3.464 to .352. Evaluating the derivative at 1 gives you a positive number, so the function is increasing from .352 to positive infinity. That means that there is a min at the x value of .352. I guess we could round that to the tenths place and use .4 as our x value. Plug .4 into the function to get the y value at the min point.
f(.4) = -48.0
So the relative min of the function is located at (.4, -48.0)
Answer: 819.3
Step-by-step explanation:
The vertex would be the point on the right angle like the tip of the right angle