Answer: OPTION A
Step-by-step explanation:
To simplify the expression you must multiply the numerator and the denominator of the expression by √3.
As all the square roots have equal index, you can multiply the radicands, which are the numbers inside of the sqaures roots.
You also must keep on mind that:
![(\sqrt[n]{a})^n=a](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da)
Therefore, you obtain:
![\frac{6\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}=\frac{6\sqrt[]{6}}{3}=\frac{2\sqrt[]{6}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Csqrt%7B2%7D%2A%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%2A%5Csqrt%7B3%7D%7D%3D%5Cfrac%7B6%5Csqrt%5B%5D%7B6%7D%7D%7B3%7D%3D%5Cfrac%7B2%5Csqrt%5B%5D%7B6%7D%7D%7B3%7D)
A = 103 degrees
You add all of them together to equal 180 and solve for x.
Answer:1 3/4
Step-by-step explanation:
Answer:
in steps
Step-by-step explanation:
Are you trying to prove any 3 positive consecutive odd integers whose product of the first and the third is four less than the square of the second?
3 positive consecutive odd integers: x-2, x, x+2
(x-2) (x+2)=x² - 4 ..... correct
11, 13, 15 11 x 15 = 165 = 13² - 4
Answer:
y-intercept = (0,
).
Step-by-step explanation:
Given the linear equation in standard form, 12x + 13y = 8:
We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.
12x + 13y = 8
Subtract 12x from both sides:
12x + 13y - 12x = - 12x + 8
13y = - 12x + 8
Next, divide both sides of the equation by 13 to solve for y:

or 
Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).
Let x = 0:


Therefore, the value of y when x = 0 is
. This is the y-intercept, and its coordinate is (0,
).