Answer:
I think it's y-y[1] = m(x-x[1])
Step-by-step explanation:
the ones in the parentheses are like smaller near the bottom of the y and/or x btw.
Good luck! :)
Answer:
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Answer:
the tree is 8.8 m tall
I can't draw it but it will be two similar acute triangles. The one that represents the man will have a 2m height and a 5m base. The one that represents the tree will have an 8.8m height and a 22 m base.
Step-by-step explanation:
it's a proportional relationship
5/22=2/height
5(height)=2(22)
5(height)=44
divide both sides by 5
5(height)/5=44/5
height=8.8 m
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:

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:
Step-by-step explanation:
use the distance formula to find the lengths of all the sides of the triangle, if all of the sides are the same, its an equilateral. If the sides are different in this case it is a right. You can check this by using the Pythagorean theorem. the distance formula is the square root of (x2-x1)^2+(y2-y1)^2
for the coordinates make sure that you don't mix them up, if you pair the wrong coordinates up, it won't work
(x1,y1) (x2,y2)