Answer:
multiply the bottom and the top by route 2 minus route 3
this gives 4 route 2 minus route 18 over minus 1
this gives minus 4 route 2 add route 18
route 18 simplifies to 3 route 2
minus 4 route 2 add 3 route 2 gives minus route 2 as the answer
Step-by-step explanation:
Step 1: Write our Givens
Move the constant term ,(the term with no variable) to the right side.
Here we have a negative 7, so we add 7 to both sides
Next, we take the linear coeffeicent and divide it by 2 then square it.
Then we add that to both sides
Next, we factor the left,
we got 5 because 5 add to 10 and multiply to 25 as well.
so we get
This is called a perfect square trinomial.
Next, we take the square root of both sides
± menas that we have a positive and negative solution.
Subtract 5 form both side so we get
The greater solution is when sqr root of 32 is positive so the answer to that is
you will need to use the law of cosines since this picture does not indicate that this is a right triangle
c^2 = a^2 + b^2 – 2ab cos C,
16^2 = 17^2+8^2 -2*17*8*cosC
256=289-272cosC
-33=-272cosC
33/272 = cosC
cos^-1 (33/272)=C taking the inverse cos
C=83.0 (to the nearest tenth)
b^2 = a^2 + c^2 – 2ac cos B,
8^2 = 17^2 +16^2 -2*17*16cosB
64=289-544cosB
-225=-544cosB
225/544=cosB
cos^(-1) =B
B=65.5
A=180-83-65.6
A=31.4
Answer: ∛v
Step-by-step explanation:
Since we know volume is measured height x width x length, we know the equation we'd use here would be:
___ x ___ x ___ = v in³
If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.
When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.
In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.
I really hope I was able to explain easy enough, feel free to ask anything else!
Answer: 420
387420489
Step-by-step explanation:
9^7: 4782969
9^2: 81
81 x 47 = 387420489
