2)
P(4,-4) -->(-4, 7)
4 - 8 = -4 -------->left 8
-4 + 11 = 7 -------->up 11
Answer: left 8; up 11
3)
C(3,-1) , left 4 up 1
3 - 4 = -1 -------->left 4
-1 + 1 = 0 -------->up 1
a)
(x , y) -->(x - 4 , y +1)
C(3, -1) -->C'(-1 , 0)
b)
(x , y) --> (x - 4, y + 1); (-1 , 0)
Looking at the slope of the "best-fit" line, you can see that for every two hours of homework, 15 more points are scored. (compare t=0 to t=2).
For t=5, the line seems to go through 47.5. So for t=7, which is two hours more, you'd expect a score of 47.5+15 = 62.5.
That answer is in the list, so I'd choose that.
In reality, you would never be able to have any score you like just by putting more hours in, so this can never be a straight line forever...
For example:
x+2y=7
6x+7y=2
__________
x=7-2y *
6*(7-2y)+7y=2 **
__________
x=7-2y
42-12y+7y=2
__________
x=7-2y
-5y=-40
__________
x=7-2y
y=8
x=-9
Pythagorean Theorem
a² + b² = c²
c = 13
a = 4
(Missing side) = b
4² + b² = 13²
16 + b² = 169
16 - 16
169 - 16 = 153
Square Root of 153 = 12.369
b = 12.369
The missing side is 12.369 (rounded to 12 as a whole number)
84 miles.
You just have to take half of 56 (28) and add it to 56 to get 84
