Answer:
Step-by-step explanation:
Answer:
4(r+4)(r-4)
Step-by-step explanation:
If you factor it out, then it will be 4(r+4)(r-4). You can double check by multiplying it.
The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is 
The given parameters are:


<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:



So, the vertex of the parabola is:

Express properly as:

A point on the graph would be:

The equation of a parabola is calculated using:

Substitute
in 

Substitute
in 


Collect like terms

Solve for a


Simplify

Substitute
in 

Hence, the equation of the parabola that describes the path of her jump is 
See attachment for the graph
Read more about equations of parabola at:
brainly.com/question/4074088
Answer:
Circle 1=6x+2y
Rectangle 4 = 3x+y
Circle 4 = 5x
Step-by-step explanation:
4x+3y and 2x-y can be added to find result for the circle.
Let C1 represent circle 1
4x+3y+2x-y=C1\\
Combining\:like\:terms\\
4x+2x+3y-y=C1
6x+2y=C1
So, The result is: C1=6x+2y
Now, We need to solve:
Let R1 represent rectangle 4
x+4y + R1 = 4x+5y
R1=4x+5y-(x+4y)
R1=4x+5y-x-4y
R1=4x-x+5y-4y
R1=3x+y
So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y
Now, We need to solve the equation:
Let C4= Circle 4
2x-y+3x+y=C4
Combining the like terms
2x+3x-y+y=C4
5x=C4
So, Solving 2x-y+3x+y=C4 we get C4 = 5x