Answer:
2 paintings per hour
Step-by-step explanation:
4paintings/ 2 hours= 2 paintings per hour
Answer: Distributive Property
Step-by-step explanation: The distributive property tells us that when there is a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.
Answer:
{-5, -2}
Step-by-step explanation:
In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.
I suspect that you actually meant (x + 5) / (x + 2), and will start with that.
First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.
Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):
(x + 2)(1) - (x + 5)(1)
f '(x) = ------------------------------
(x + 2)
Here it's clear that x cannot = -2, which would cause division by zero.
Thus, our critical values are {-5, -2}.
Answer:
∠ E = 56°
Step-by-step explanation:
the external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ MGF is an exterior angle of the triangle , then
10x + 12 = 5x - 4 + 76
10x + 12 = 5x + 72 ( subtract 5x from both sides )
5x + 12 = 72 ( subtract 12 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Then
∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°
