The sum of a and b will be the coefficient of the x term of the trinomial. This can be seen below.
(x + a)(x + b)
= x² + bx + ax + ab
= x² + (a+b)x + ab
x is being multiplied by both a and b individually and the products are being added, so sum of a and b appears as the coefficient of x term.
Thus the answer to this question is option C
Answer:
look the photo
..............................
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:
sorry if im wrong i think wrong numbers. plz check
Step-by-step explanation:
The center of dilation of the question is (-4,-3) .
let say that
x0=-4
y0=-3
Label the image A'B'C'
The new coordinate would be
A(-4,-1)
x=4
y=-1
x'=x0+ 2(x - x0)
x'= -4+ 2(-4 +4)
x'=-4
y'=y0+ 2(y - y0)
y'= -3+ 2(-1 +3)
y'=-3 +4= 1
______________________________
B(-4,-3)
x=-4
y=-3
x'=x0+ 2(x - x0)
x'= -4+ 2(-4 +4)
x'=-4
y'=y0+ 2(y - y0)
y'= -3+ 2(-3 +3)
y'=-3
______________________________
C(-1,-3)
x=-1
y=-3
x'=x0+ 2(x - x0)
x'= -4+ 2(-1 +4)
x'=-4 +6= 2
y'=y0+ 2(y - y0)
y'= -3+ 2(-3 +3)
y'=-3
A'(-4,1)
B'(-4,-3)
C'(2,-3)