Answer:
62
Step-by-step explanation:
There are two lengths so 77 + 77 is 154. Now, subtract from the perimeter. 278 minus 154 is 124. This is both widths combined so to only get one, divide by 2. 124 divided by 2 is 62.
Answer:
The remainder is 2.
Step-by-step explanation:
Use modular arithmetic.
If the remainder is x then 8^33 mod 6 = x.
8^3 = 512 = 2 mod 6
8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6
8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6
= 4 mod 6.
Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6
= 8 mod 6 = 2.
Answer:
(3,16)
Step-by-step explanation:
Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.
As far a domain, you only care about the denominator and radicals.
f(x) = 2 - √x is the denominator, so it can't be 0.
Also x is under a radical, so x can't be negative.
Set the denominator equal to 0 to find the excluded values.
2 - √x = 0
-√x = -2
√x = 2
x = 4, so 4 is an excluded value
The domain is all real numbers greater than or equal to 0, except 4.
[0, 4) U (4, ∞)
0 ≤ x < 4 U x > 4
Answer:
Step-by-step explanation:
oh my 150 overdue
you should start with one subject and finish them up. then move on to the next subject. dont switch subjects and focus. youll get them all sooner if you pay attention. dont cheat!
