Answer:
H or (3.5,-3)
number two:
B and (3.5,5)
Step-by-step explanation:
Hello!
Distance between two points (2,9) and (6,3) -
<span>1. Take the Absolute Difference between the X points 2 and 6. The Absolute Difference is 4. </span>
<span>2. Square 4 = 16 </span>
<span>3. Take the Absolute Difference between the Y points 9 and 3. The absolute Difference is 12. </span>
<span>4. Square 12 = 144 </span>
<span>5 Add 144 + 16 = 160 </span>
<span>6. Take the Square root of 160 </span>
<span>12.6491106407
Hope this Helps at least! :)</span>
Answer:
x = - 4, x = 6
Step-by-step explanation:
Given
f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives
x² - 2x + 3 = 27 ( subtract 27 from both sides )
x² - 2x - 24 = 0 ← in standard form
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, thus
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Answer: FIRST OPTION.
Step-by-step explanation:
Given the following function:
Follow this steps in order to find its inverse:
1. Rewrite the function with 
:
2. Solve for "x":
3. Now you must exchange the variables:
4. And finally, rewrite the function with 
:
Therefore, the inverse function is
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
