Answer:
Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction </u>
We need to convert the following decimal to a fraction:
Let's call x to the given number:
The number has two repeating (periodic) decimals, thus we multiply by 100:
Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:
Operating:
99x=-37
Dividing by 99:
The fraction cannot be simplified, thus:
Answer:
1/2 or 0.5
Step-by-step explanation:
To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.
Our final answer is 1/2 or 0.5.
B. (0, 9)
<h3>Step-by-step explanation:</h3>Reflection across x=a is represented by the transformation ...
... (x, y) ⇒(2a-x, y)
Reflection across y=b is represented by the transformation ...
... (x, y) ⇒ (x, 2b-y)
The double reflection, across x=2, y=1 will result in the transformation ...
... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)
For (x, y) = X(4, -7), the transformed point is ...
... X''(4-4, 2-(-7)) = X''(0, 9)
