Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.
Answer:
Step-by-step explanation:
Basically when a variable with a negative exponent, such as 
, you just take the reciprocal of it and then change the exponent sign, or in simple terms flip it. The reciprocal of a^{-2} and changing the exponent sign is is 
.
To demonstrate let’s solve the first problem:
Using what we just learned, we take the reciprocal and flip the sign of 
and 
, which are 
and 
respectively.
Therefore the equation is now:
To simplify we add the exponents (only if they have the same base, or the same variable, in this case)
Therefore our answer is:
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
Answer:
SSS
Step-by-step explanation:
ST = YA, SY = TA Given
AS = SA Reflexive property
ΔSTA ≅ ΔAYS SSS
