The length of a rectangle is nine inches less than twice the width. If the perimeter of the rectangle is 84 inches, find the dimension of the rectangle

L=25; W=17

Step-by-step explanation:

1. Create an equation

L+L+W+W=P -> (2w-9)+(2w-9)+(w)+(w)=84

2. Solve for W

    a) Collect like terms

(2w-9)+(2w-9)+(w)+(w)=84 -> 6w-18=84

    b) Move constant to the right

6w-18=84 -> 6w=102

    c) Divide by 6

6w=102 -> w=17

3. Now plug in W to the L

2w-9=L -> 2(17)-9=L

    a) Multiply

2x17=34 -> 34-9=L

    b) Subtract

34-9=25 -> 25=L

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: