X=5/2,x=2
i cant explain it but if you got to symbolab.com and input the equation it will solve and show you the steps
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
Answer:
Statement: angle QAU congruent to angle KAC
Reasoning: vert. angle congruenct thm
S: angle U congruent to angle C
R: Alt. Int. Angle Thm
S: Triangle QUA similar to Triangle KCA
R: AA Sim. Thm
Step-by-step explanation:
Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.
Turn off the faucet if not in use
Take shorter showers
Water your plants only when it needs it
Don’t throw trash on the sea
Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3