Answer:
x = 2* pi* n
Step-by-step explanation:
cos(2x) cos(x) + sin(2x) sin x =1
We know cos(s) cos(t) + sin(s) sin(t) = cos(s - t)
Using s =2x and t = x
cos (2x-x) =1
cos (x) =1
We know this occurs at 0, 2pi, 4 pi etc
x = 2* pi* n where n is an integer
Answer:28
Step-by-step explanation:
Since x+32 is 90 degrees, you subtract 32 from both sides to get the remaining which is 28 degrees.
Answer:
No, because 3 x 7 = 21 - 4 = 17
Step-by-step explanation:
Answer:
![y=\frac{9}{4}x-\frac{55}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B4%7Dx-%5Cfrac%7B55%7D%7B4%7D)
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
![\frac{2-(-7)}{7-3}](https://tex.z-dn.net/?f=%5Cfrac%7B2-%28-7%29%7D%7B7-3%7D)
Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4
![\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D)
The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:
![2=\frac{9}{4}(7)+b](https://tex.z-dn.net/?f=2%3D%5Cfrac%7B9%7D%7B4%7D%287%29%2Bb)
![2=\frac{63}{4}+b](https://tex.z-dn.net/?f=2%3D%5Cfrac%7B63%7D%7B4%7D%2Bb)
![-\frac{55}{4} =b](https://tex.z-dn.net/?f=-%5Cfrac%7B55%7D%7B4%7D%20%3Db)
The y-intercept is
.
Now that we know the slope and the y-intercept, we can write the equation:
![y=\frac{9}{4}x-\frac{55}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B4%7Dx-%5Cfrac%7B55%7D%7B4%7D)