To train for the running of a triathlon, Jerri jogs 1 hour each day over the same 7-mile course. Four miles of the course is downhill, whereas the other 3 miles is on level ground. Jerri figures that she runs 2 miles per hour faster downhill than she runs on level ground. Find the rate at which Jerri runs on level ground.

the rate at which Jerri runs on level ground is 6 mph

Step-by-step explanation:

Let x represent the rate at which Jerri runs on level ground.

Jerri figures that she runs 2 miles per hour faster downhill than she runs on level ground. This means that the speed at which she runs downhill is (x + 2) mph

Time = distance/ speed

Four miles of the course is downhill. This means that the time it takes her to run downhill is

4/(x + 2)

Whereas the other 3 miles is on level ground. This means that the time it takes her to run on level ground is

3/x

Jerri jogs 1 hour each day over the same 7-mile course. This means that

4/(x + 2) + 3/x = 1

Cross multiplying by x(x + 2), it becomes

4x + 3(x + 2) = x(x + 2)

4x + 3x + 6 = x² + 2x

x² + 2x - 4x - 3x - 6 = 0

x² - 5x - 6 = 0

x² + x - 6x - 6 = 0

x(x + 1) - 6(x + 1) = 0

x - 6 = 0 or x + 1 = 0

x = 6 or x = - 1

Since the speed cannot be negative, then x = 6 mph

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: