1. 5/6
2. 7/1
3. 1/7
Just write the first number as the numerator and the second one as a denominator then divide by their common factors
8 + 3 (4 - n )
n= 3
8 + 3( 4-3)
8 + 3 * 1
8 + 3 = 11
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
Answer: y = 1/2 or y = -1/2
Step-by-step explanation:
First move the 1 to the side with the 0
-4y^2 = -1 // -1 because when you move a number to the other side of the equation you have to multiply -1
Then divide by -4 on each side
y^2 = 1/4
square root each side
|y| = 1/2 // sq rt y^2 becomes an absolute value because when you square root a square it automatically becomes an absolute value
so the answer would be y = 1/2 or -1/2
to check just put it into the equation as y. Both work.
