Step-by-step explanation:
Angle A = 4x + 12 = 4(15) + 12 = 72°.
Acute is for angles that are less than 90°.
Obtuse is for angles that are between 90° and 180°, not inclusive.
Right is for angles that are 90°
Hence the answer is acute.
Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
Answer: Y = 4x - 12
Step-by-step explanation:
Well, the reason for this is because y can be anything because there are 2 unknown terms in the equation. Thus, the answer to y can be many different answers. The one common thing that all of these answers have is that they have only 1 expression (An equation without equal sign) to solve it. This expression is the answer to y, but it can be changed judging by the answer of x. That is why you cannot determine an exact answer to y with there being many, so you have to write the expression to get y. Which you can find out by:
12 (Part) + y (Part) = 4x (Whole)
So to figure out one part do the whole minus the other part which is why 4x is our answer:
4x (Whole) - 12 (Other Part)
This is called part-whole postulate.
Hope this helps!
Answer:
28.6
Step-by-step explanation:
12^2+x^2=31^2 solve for x to get 28.6(rounded)
