Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
Step-by-step explanation:
Hey there!
Given;
[A = 1/2b*h]
Divide both sides by 'h'.
A/h = 1/2(b*h/h) [ on right side'h' gets cancelled].
Multiply '2' and 'A'.
A*2/h = b
b = 2A/h.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
2/3
Step-by-step explanation:
10/15=2/3
20/30=2/3
30/45=2/3
40/60=2/3
Answer:
Subtract 21 from the left side and add 21 to the right side of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.
Step-by-step explanation:
Answer:
- (x + 3)(x - 3)(x² - 2x + 5)
Step-by-step explanation:
<u>One of the zeros given:</u>
<u>Since it is a complex number, its conjugate is also a zero:</u>
<u>The product of two factors are:</u>
- (x - (1 + 2i))(x - (1 - 2i)) =
- x² - x(1 + 2i + 1 - 2i) + (1 - 4i²) =
- x² - 2x + 5
<u>We need two more zeros. Let them be m and n, then we have:</u>
- (x - m)(x - n) = x² - (m +n)x + mn
<u>The product of all factors:</u>
- (x² - 2x + 5)(x² - (m+n)x + mn) = x⁴ - 2x³ - 4x² + 18x - 45
- x⁴- (m+n+2)x³ + (mn+5)x² - (2mn+5m+5n)x + 5mn = x⁴- 2x³- 4x²+ 18x- 45
<u>Compare left and right sides and solve for m and n:</u>
- m + n + 2 = 2 ⇒ m + n = 0
- mn + 5 = -4 ⇒ mn = -9
- 2mn + 5(m + n) = -18 ⇒ mn = -9
<u>From the above equations we get:</u>
- m = -n
- -n² = -9
- n = 3
- m = -3
The other zero's are 3 and -3
<u>All of the factors:</u>
- (x + 3)(x - 3)(x² - 2x + 5)
