1. Jamie was given the problem, “Find the result when the factors of x2 + 15x + 44 are multiplied together.” Before she could answer, her sister, Lauren, said, “I know the answer without factoring or multiplying!” What was
Lauren's answer and how did she know? (you may solve first and then work backwards to explain).

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

x=6 and x=3

beep beep imma sheep