Answer:
Can you put the picture
Step-by-step explanation:
I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.
Answer: ![\bold{y=sin(4x)+3}](https://tex.z-dn.net/?f=%5Cbold%7By%3Dsin%284x%29%2B3%7D)
<u>Step-by-step explanation:</u>
![\text{The standard form of a sine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20standard%20form%20of%20a%20sine%20equation%20is%3A%20y%3DA%20cos%28Bx%20-%20C%29%20%2B%20D%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BA%20%3D%20amplitude%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BPeriod%20%3D%20%7D%5Cdfrac%7B2%5Cpi%7D%7BB%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BPhase%20Shift%20%3D%20%7D%5Cdfrac%7BC%7D%7BB%7D%5C%5C%5C%5C%5Cbullet%5Ctext%7BD%20%3D%20vertical%20shift%20%28up%20if%20positive%2C%20down%20if%20negative%29%7D)
The given information is:
- A (amplitude) = 1
![Period\bigg(\dfrac{2\pi}{B}\bigg)=\dfrac{\pi}{2}}\qquad \implies B=4](https://tex.z-dn.net/?f=Period%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7BB%7D%5Cbigg%29%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5Cqquad%20%5Cimplies%20B%3D4)
- D (Vertical shift) = +3
![\implies \large\boxed{y=sin(4x)+3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Clarge%5Cboxed%7By%3Dsin%284x%29%2B3%7D)
Answer:
0.25 = 2^-2
The "^" means that -2 is an exponent on top of 2.
Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.