Answer and Step-by-step explanation:
Suppose x = 0.2355555... .
Multiply x by 100 and 1000:
100x = 23.5555....
1000x = 235.5555....
Let's subtract the first equation from the second:
1000x - 100x = 235.5555.... - 23.555.....
Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:
900x = 235 - 23 = 212
Divide both sides by 900:
x = 212/900 = 53/225
Thus, since x = 0.235555..., we know that:
0.23555.... = 53/225
Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.
<em>~ an aesthetics lover</em>
This you answer x=-1/5y+-4/5
http://www.mathpapa.com/algebra-calculator.html
Answer: (-3, 4)
Step-by-step explanation: Given point coordinate (4,3).
We need to rotate the given point about 90º.
<em>In order to find the new coordinates of rotation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).</em>
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
(4,3) ---> (-3, 4)
First we must take the 4 to the other side: giving us -2x = 6.
Then we take the -2 to the other side:
X = 6/-2
X = -3
Answer:
b = -23.5
Step-by-step explanation:
4.7(3x - 5) = 14.1x - 23.5
