namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

Answer: Third Choice. Thousandths
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the order and name of each place value.
Please refer to the attachment below for the specified names.
<u>Solve:</u>
<em>STEP ONE: Orde and name each place</em>
2 ⇒ One Thousands
4 ⇒ Hundreds
5 ⇒ Tens
6 ⇒ Ones
.
1 ⇒ Tenths
3 ⇒ Hundredths
8 ⇒ One Thousandths
7 ⇒ Ten Thousandths
<em>STEP TWO: Find the number [8] in the number</em>
As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is <u>Thousandths</u>.
Hope this helps!! :)
Please let me know if you have any questions
Answer:
figure 3
Step-by-step explanation:
Answer:
9 ft
Step-by-step explanation:
its volume is equal to the area by height;
(2.5 x 3)h = 67.5
h = 9ft
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The ratio of any corresponding coordinates will give the scale factor.
Using the x-coordinates of C' and C, we have ...
scale factor = C'/C = 4/6 = 2/3
The dilation scale factor is 2/3.