Answer:
Step-by-step explanation:
See attachment.
If both cyclists travel for the same time and speed, they will have travelled the same distance. Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle. Each leg has distance x. We can say x^2 + x^2 = (3)^2
2x^2 =1 8
x^2 = 9
x = 3
They both rode 3 miles.
Answer:
Step-by-step explanation:
The equation for that is
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:
The factor (x + 10) is common, so we will now factor that out:
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
Answer:
The answer to the question is
It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her
and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully
Step-by-step explanation:
To solve the question, we lisrt out the variables as follows
Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr
Running speed of Lakelyn = 6 miles/hour
Biking speed = 12 miles/hour
The duration it will take for Lakelyn to run 18 miles is given by
Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))
or t = D/S
Substituting the known values of such as
Running speed of Lakelyn = 6 miles/hour
From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours
should the 18 miles form part of the triathlon then, we have
and x +y+z =18
Where x, y and z are the distance covered Swimming, Running and Biking respectively