Answer:
BC = 25
Step-by-step explanation:
To find the length of BC you need to use the pythagorean theorem.
There are two part to a triangle that need to be put into this equation. The hypotenuse(c) and the legs(a, b). The legs would be the side NEXT to the right angle. The hypotenuse is ACROSS from the right angle. In this equation we are looking for the hypotenuse. It doesn't matter which letter the legs replace just remember that the hypotenuse alway has to be C.
Now you have to square the numbers then add.
Now find the square root of 625 to get rid of the squared in the C.
c = 25
Hope this helped.
Answer:
Step-by-step explanation:
let x = the number of votes of the first person
winner = x + 4000
x+ x+4000 = 6000
2x=2000
x=1000
first person = x = 1000
winner = x+4000 = 5000
The winner got 5000 votes
Note: (f/g)(x) can be written as
f(x)/g(x). This simply means f(x) divided by g(x).
We know what f(x) and g(x) are because that information is given to us in the problem. See it?
Set up the rational function and factor.
(x^2 - 9)/(x^2 -4x + 3)
We now factor the top and bottom.
(x - 3)(x + 3)/(x - 3)(x - 1)
Cancel out common terms.
We now have (x + 3)/(x - 1) as the reduced rational function.
To find the domain, set the bottom to 0 and solve for x.
x - 1 = 0
x = 1
The domain is ALL REAL NUMBERS EXCEPT FOR 1. In the given function, x CANNOT BE 3 because this would create a zero in the denominator.
Answer in interval notation is
(-00, 1) U (1, 3) U (1, 00).
The interval notation reads as follows:
All negative numbers included but not 1 united with the open interval that does not include 1 and 3 united with the interval that excludes 1 but includes all positive numbers greater than 1. I hope this is clear.
Answer: 
and $475 deposited into the account on her birthdays by her 18th birthday.
Step-by-step explanation:
It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.
Initial term : 
On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.
Common difference : 
It forms an AP: 50,75,100,...
nth term of an AP is
Substitute and in the above formula.
It represents the amount deposited into the account after n birthdays.
We need to find the amount by her 18th birthday.
Put n=18 in the above equation.
Therefore, $475 deposited into the account on her birthdays by her 18th birthday.
