Acommercial jet and a private airplane fly from denver to phoenix. it takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. find the speed of both airplanes

The speed of the commercial jet is while the speed of the private airplane is

Let's name the commercial jet as cj and private airplane as pa, so we know the following:

It takes the commercial jet 1.1 hours for the flight, so:

It takes the private airplane 1.8 hours for the flight, so:

The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane:

Let's name the speed of the commercial jet as and the speed of the private airplane as , then:

From physics we know that:

Since the distance from Denver to phoenix is unique, then:

Thus, from the equation and given the relationship we have:

Finally, the speeds are:

a² + b²= c²

24² + 7² = c²

c= 25

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.