Answer:
√2
Step-by-step explanation:
Solving the given expression step by step:
![\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B36%7D%20%7D%7B%5Csqrt%7B18%7D%20%7D%20%3D%20%5Cfrac%7B6%7D%7B3%5Csqrt%7B2%7D%20%7D%5C%20%5C%20%5C%20%5B%5Cbecause%20%5Csqrt%7B36%7D%20%3D%206%20%5C%20and%20%5C%20%5Csqrt%7B18%7D%20%3D%203%5Csqrt%7B2%7D%5D%20%5C%5C%20%3D%20%5Cfrac%7B3%20%5Ctimes%202%7D%7B3%5Csqrt%7B2%7D%20%7D%20%3D%20%5Cfrac%7B%202%7D%7B%5Csqrt%7B2%7D%20%7D%3D%20%5Csqrt%7B2%7D)
We rationalize denominator and change it into a simpler form as soon as possible.
Answer:
8 Minutes
Step-by-step explanation:
since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.
666-562 = 104
Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.
104 / 13 = 8
Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:
y = x - 3
Step-by-step explanation:
