Tonya runs 8 kilometres in 60 minutes. at a rate how long would it take her to run 2 kilometers

 15 minutes

Step-by-step explanation:

Given : Tonya runs 8 kilometres in 60 minutes.

We know that the rate of distance covered with respect to time is given by :-

Rate of distance covered with respect to time for Tony=kilometers per minute

Let t be the time taken by her to run 2 kilometers.

Then, Rate of distance covered  with respect to time =

If rate remains the same, then we have

Hence, it would take 15 minutes to run 2 kilometers.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15