Steps to solve:
0.3x = 15
~Divide 0.3 to both sides
0.3x/0.3 = 15/0.3
~Simplify
x = 50
This is a vertical line so the slope is undefined.
The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.
Best of Luck!
First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First,
![\frac{7 \pi }{4} * \frac{180}{ \pi }=315](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%20%5Cpi%20%7D%7B4%7D%20%2A%20%5Cfrac%7B180%7D%7B%20%5Cpi%20%7D%3D315%20)
. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that
![\frac{13 \pi }{6} * \frac{180}{ \pi } =390](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%20%5Cpi%20%7D%7B6%7D%20%2A%20%5Cfrac%7B180%7D%7B%20%5Cpi%20%7D%20%3D390)
. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.
Answer:
8<em>x</em> + 25
Step-by-step explanation:
In the second photo.
Answer:
6²
Step-by-step explanation:
Use the rule of exponents ...
(a·b)^c = a^c·b^c
Your expression has a=3, b=2, c=2.
3²·2² = (3·2)² = 6²
_____
If you want to get more sophisticated than that, logarithms can get involved.
![3^2\cdot 2^2=10^{2\log{(3)}+2\log{(2)}}\approx 10^{1.5563025}](https://tex.z-dn.net/?f=3%5E2%5Ccdot%202%5E2%3D10%5E%7B2%5Clog%7B%283%29%7D%2B2%5Clog%7B%282%29%7D%7D%5Capprox%2010%5E%7B1.5563025%7D)