You are asked to find

The sin of an angle equals the opposite side divided by the hypotenuse, so the next drawing will help to find the answer:
![\sin (\theta)=\frac{7}{\sqrt[]{6^2+7^2}}=\frac{7}{\sqrt[\square]{85}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B7%7D%7B%5Csqrt%5B%5D%7B6%5E2%2B7%5E2%7D%7D%3D%5Cfrac%7B7%7D%7B%5Csqrt%5B%5Csquare%5D%7B85%7D%7D)
The hypotenuse is the square root of 6 to the square plus 7 to the square because of the Pythagorean theorem. In order to have a rational denominator:
![\frac{7}{\sqrt[]{85}}=\frac{7\cdot\sqrt[\square]{85}}{85}=\frac{7\cdot\sqrt[]{17}\cdot\sqrt[\square]{5}}{17\cdot5}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B%5Csqrt%5B%5D%7B85%7D%7D%3D%5Cfrac%7B7%5Ccdot%5Csqrt%5B%5Csquare%5D%7B85%7D%7D%7B85%7D%3D%5Cfrac%7B7%5Ccdot%5Csqrt%5B%5D%7B17%7D%5Ccdot%5Csqrt%5B%5Csquare%5D%7B5%7D%7D%7B17%5Ccdot5%7D)
Because
2*2^2+3 PEMDAS
2*4+3
8+3
11
Answer is 11
Step-by-step explanation:
A. Rational Number
square root 36 = 6/1
It can be write in a ratio.
(-2,2)(5,1)
slope(m) = (1 - 2) / (5 - (-2) = -1 / 7
y = mx + b
slope(m) = -1/7
use either of ur points....(5,1)....x = 5 and y = 1
now sub and find b, the y int
1 = -1/7(5) + b
1 = -5/7 + b
1 + 5/7 = b
7/7 + 5/7 = b
12/7 = b
equation is : y = -1/7x + 12/7....but we need it in standard form...
y = -1/7x + 12/7
1/7x + y = 12/7
x + 7y = 12 <== standard form
Answer:

The value of a is 9 and b is -8
Step-by-step explanation:

We need to find two numbers that add up or subtract off to 1.
Then we also use the same two numbers that multiply and get -72.
Let's see:-
- 9 and -8 seem like correct values.
Because 9+(-8) is 9-8 = 1
And 9(-8) is -72.
Therefore:

The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)