Answer:
Yes, ALL equilateral triangles are similar. By definition they all have the characteristics given above, which means that they are all completely proportional, which means they are all similar.
Just plug -3 where x is into the equation 2x^2 + 6 and solve
f(-3) = 2(-3)^2 + 6
f(-3) = 2(9) + 6
f(-3) = 18 + 6
f(-3) = 24
Just reach in a grab which one you actually wanted.
It is implied in the given that the tree grows linearly. The equation can be expressed as,
h = mx + b
where m and b are the slope and y-intercept. Convert the 8 in first to feet for the units to be uniform. 8 inches equal 0.75 ft. From the given, the final equation would be,
h = (3/4)x + 5
Answer:
1/19( -171 - 10√5 + 40√30)
Step-by-step explanation:
Probably the best way to do this would be to mutiply each fraction ( top and bottom) by the conjugate of the denominator. This would then give a denominator with no radicals.
So 2√5 / √6 + 5 wil be multiplied by (5 - √6) / (5 - √6)) to give
(10√5 - 2√30)/ (25 - 6).
= 2√5 (5 - √6) / 19
Do the same with th other 2 fractions and the simplifuication will be a lot easier.
I did this and got 1/19( -171 - 10√5 + 40√30)