Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
Answer:

Step-by-step explanation:
Hi there!
We want to find the distance between the points (2, -2) and (-4, 7).
To do that, we can use the distance formula.
The distance formula is given as
, where
and
are points
We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

Now substitute those values into the formula and solve


Simplify


Square the numbers under the radical

Add the numbers under the radical together

Simplify the square root

Hope this helps!
Answer: x=1
Step-by-step explanation:
5x+3-3=8-3
5x=5
5x/5x=5/5x
x=1
Answer:
It is True.
Step-by-step explanation:
If the statement p^q is true then it mean both have to be true in order for the statement to be true.
Let me give the significations following
natural numbers :ACA counting numbers the numbers you naturally say when counting.
whole numbers: include all natural numbers zero
Integers: include all whole numbers and their opposites.
Rational: can be written ASA fraction or ratio of two integers also decimals that terminate or repeat
Irrational: can not be written a fraction, decimals, do not terminate or repeat.