The map of a biking trail is drawn on a coordinate grid. the trail starts at p(−2, 2) and goes to q(5, 2). it goes from q to r(5, −5) and then to s(8, −5). what is the total length (in units) of the biking trail? 10 16 17 18

Answer

Therefore, the total length (in units) of the biking trail = 17 units

Step by step explanation

Here we have to use the distance formula to find the distance from P to Q, Q to R and R to S.

That is PQ, QR and RS

The distance formula =

PQ =

PQ =

PQ = √7^2

PQ = 7

Now distance QR

Q = (5, 2) and R = (5, -5)

QR =

QR =

QR = √49

QR = 7

Now find the distance R and S

R = (5, -5) and S = (8, -5)

RS =

RS =

RS = √9

RS = 3

Therefore, the total length (in units) of the biking trail = PQ + QR + RS

= 7 + 7 + 3

= 17 units

Thank you. :)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)