Write the equation of the parabola with vertex (3, 4) and focus (5, 4).

The equation of the parabola with vertex (3, 4) and focus (5, 4) will be:

Step-by-step explanation:

Given

As the y value of the vertex (3, 4) and the focus (5, 4) is the same.

So the parabola opens to the right.

Thus

The standard form of Parabola

Substituting vertex

As focus = (h + p, k)

5 = 3 + p

p = 2

so

Therefore, the equation of the parabola with vertex (3, 4) and focus (5, 4) will be:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the answer is su.k.my? ? co.kc