Answer:
56 mph
Step-by-step explanation:
Process of elimination. 126 mph is much too high because it's more than the distance and they will arrive too early. 65 + 65 ÷ 2 = 97.5, that's more than 84 miles. The reason we divide by 2 is because of the .5. Now all we have is 56 mph. To check, 56 + 56 ÷ 2 = 84
Answer:
A. 7.07 units
Step-by-step explanation:
Use the distance formula for coordinates:
Fill in the coordinates accordingly:
which simplifies down to
which is of course
Plug that into your calculator and you'll get the answer
So we have lengths a and b and are given:
2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272
plug in one into the other:
(33-b)b = 272 => -b^2 +33b - 272 = 0
Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.
So a=16 and b=17 or vice versa.
Answer:
1 + ln 2 - ln x
Step-by-step explanation:
ln ( 2e /x)
We know that ln ( a/b) = ln ( a) - ln (b)
ln (2e) - ln (x)
We also know that ln ( a*b) = ln a + ln b
ln ( 2) + ln e - ln x
We know that the ln e = 1
ln 2 + 1 - ln x
Changing the order
1 + ln 2 - ln x