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:
(1,0)
Step-by-step explanation:
The vertex is the maximum of the parabola
It is at x=1 and y = 0
(1,0)
Answer:
1.2x - 10.8 - 2.3x - 9.2 = -1.1x - 20; Rewrite as follows. (x 2y)(xy 2) = (x 2 x)(y y 2) ... x + 2.3; - x / 5 = 2; (x - 4) / (- 6) = 3; (-3x + 1) / (x - 2) = -3; x / 5 + (x - 1) / 3 = 1/5 ... 2 x 2 - 8 = 0; x 2 = -5; 2x 2 + 5x - 7 = 0; (x - 2)(x + 3) = 0; (x + 7)(x - 1) = 9; x(x - 6) = -9 ... For what value of the constant k does the quadratic equation x 2 +2x = - 2k .
Step-by-step explanation:
The answer is C.
-5 is an integer because integers are all whole numbers with the inclusion of their opposites (negative values).
-5 is rational because it can be expressed as a ratio of two integers (-5/1).
-5 is a real number because all integers and rational numbers are real numbers.
There's an infinite number of equivalent ratios for 27:15, these are the ones that just came to my mind:
27:15 = 54:30 (because 27 * 2 = 54 and 15 * 2 = 30)
27:15 = 9:5 (because 27 / 3 = 9 and 15 / 3 = 5)
27:15 = 135:75 (because 27 * 5 = 135 and 15 * 5 = 75)
