Answer: 330
Step-by-step explanation:
The angles of a triangle all add up to 180°. In fact, it can be generalized that the sum of the interior angles of an n-sided polygon is equal to 180°(n–2).
A right triangle must have a right angle, which is equal to 90°. If the other angle is 42°, that means that we can find the third angle by subtracting 90° + 42° from 180°.
x = 180° – (90° + 42°) = 48°
Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit
says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit
means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
Answer:
y = -2/13
Step-by-step explanation:
-5 + 13y = -7
Add 5 to each side
-5+5 + 13y = -7+5
13y = -2
Divide by 13
13y/13 = -2/13
y = -2/13
Answer:
18,176
Step-by-step explanation:
Figure out an easier thing to do: 1000 - 2021 = 9,797.
Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 = 18,176.