When a function is reflected, it must be reflected over a line
The new function is:
The equation is given as:
The rule of reflection over the y-axis is:
So, we have:
Rewrite as:
Hence, the new function is:
Read more about reflections at:
How is twelve divided by fifteen equal to eight.
1 answer:
It isn't at all!
When dividing numbers, the easiest way is to imagine the values as a fraction, and then reduce that fraction. If it reduces to a core fraction (ones that you should know their decimal value without thinking), then you have your answer.
We simplified our fraction by dividing the numerator and denominator by 4, which left us with
, which we know is equal to 0.8.
You may be confused thinking that 0.8 is the same as 8. 0.8 is actually a tenth of the value of 8. This makes them very different values.
Below, I have also included a picture to help you memorize your common/core fractions. I recommend learning these as they will help you get through all sorts of math, from Geometry to Calculus!
When dividing numbers, the easiest way is to imagine the values as a fraction, and then reduce that fraction. If it reduces to a core fraction (ones that you should know their decimal value without thinking), then you have your answer.
We simplified our fraction by dividing the numerator and denominator by 4, which left us with
You may be confused thinking that 0.8 is the same as 8. 0.8 is actually a tenth of the value of 8. This makes them very different values.
Below, I have also included a picture to help you memorize your common/core fractions. I recommend learning these as they will help you get through all sorts of math, from Geometry to Calculus!
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A geometry app shows lengths that add up to 27.4 units.
The Pythagorean theorem can be used to find the lengths of the segments. Each length is the square root of the sum of squares of the difference in x-coordinates and the difference in y-coordinates.
segment AB: length = √(3²+8²) = √73 ≈ 8.544
segment BC: length = √(7²+4²) = √65 ≈ 8.062
segment CA: length = √(10²+4²) = √116 ≈ 10.770
Then the total perimeter is the sum of these lengths:
... 8.544 +8.062 +10.770 = 27.376 ≈ 27.4 . . . . units
