Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x+2)
Option A is correct.
Answer:
10 miles
Step-by-step explanation:
Given: Boat goes
hours with 8 mph (i)
Boat goes
hours with 12 mph (ii)
Now, lets find out distance separately to get total distance.
Formula for finding distance is
D= 
D=
(i)
D= 
∴ D1= 6 miles (i)
D=
(ii)
∴D2= 4 miles (ii)
To find total distance, we will add d1 and d2
Total distance = 
∴ Total distance = 
= 10 miles is the total distance covered by boat in all this time.
First we need to find the slope:
Slope formula=

Plug in your given values from the coordinate
Slope =

When we have 2 "-"'s together they turn into a + sign so we add.
Slope =

Slope =

Simplify (in this case divide) the slope:
Slope =

slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept
So far we have:
y=2x+b
To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)
so we plug that in the equation
1=6+b
Now solve for b:
1=6+b
subtract 6 from both sides
b=-5
Final answer:
y=2x-5 (D)