1+5 =6
2+4 =6
3+3 =6
5+1 =6
4+2 = 6
So a total of 5 ways.
Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
__
You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
The polynomial remainder theorem states that the remainder upon dividing a polynomial
by
is the same as the value of
, so to find
you need to find the remainder upon dividing
You have
..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2
So the quotient and remainder upon dividing is
with a remainder of 2, which means
.
Hey there!!
Given equation :
... -4 ( x + 10 ) - 6 = -3 ( x - 2 )
Using the distributive property :
... -4x - 40 - 6 = -3x + 6
Combining like terms :
... -4x - 46 = -3x + 6
Adding 46 on both sides :
... -4x = -3x + 52
Adding 3x on both sides :
... -x = 52
... x = -52
Hope helps!
(3.5, 16)
Midpoint Formula is
((x1+x2)/2, (y1+y2)/2)
