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.
1. d
x-intercept (y=0) is -4
y-intercept (x=0) is 8
2. d
x-intercept (y=0) is 16
y-intercept (x=0) is 20
3. b
y=1/6x+4
multiplied by 6
6y=x+24
-x+6y=24
4. a 4.75k+2.25p=22
Answer:
Properties in math are used as general rules to solve problems.
I hope this helped!
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 2 log₅ x = log₅ 4
- 2 log₅ x = log₅ 2²
- 2 log₅ x = 2 log₅ 2
- log₅ x = log₅ 2
- x = 2
Distance = Speed x time = 162 x 3 = 486 miles/hour
Answer: 486 miles/hour
