Answer:
2/3
Step-by-step explanation:
To get the slope, you do (y2-y1)/(x2-x1).
You can also remember it as rise/run, as it is the change in y/change in x.
You can make either coordinate 1 or 2, just keep it consistent with the rest of the problem.
For this, I chose (-5, -7) to be 2, and (4, -1) to be 1.
Following the formula for slope, (y2-y1)/(x2-x1), you put the values in: (-7-{-1})/(-5-4).
-7 minus -1 is -6 and -5 minus 4 is -9.
Thus you get -6/-9. Don’t forget to simplify! A negaive divided by a negative is positive, and both 6 and 9 can be divided by 3. 3 goes into 6 TWO times and into 9 THREE times.
So, you get a positive fraction, 2/3.
Hope this helped.
(36.57-25.89)*(66.32+11.75)
10.68*78.07 = 833.7876
Answer:
110
Step-by-step explanation:
Bigger then 90 less than 120
Answer:
- -9
- 2x + 3y = 21
- 4√5
Step-by-step explanation:
1. Put the point values in the equation where x and y are, then solve.
... 3(-2) -2k = 12
... -6 -2k = 12 . . . . eliminate parentheses
... -2k = 18 . . . . . . .add 6
... k = -9 . . . . . . . . . divide by -2
2. The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The equation for it can be found by swapping the x- and y-coefficients and negating one of them. Then, to make the line go through point (h, k), replace the constant with zero and replace x with (x-h) and y with (y-k).
... 2(x -6) +3(y -3) = 0 . . . . . a line through P perpendicular to PQ
... 2x + 3y = 21
3. The Pythagorean theorem is used for finding the lengths of line segments. The difference in coordinates between P and R is ...
... P - R = (6, 3) - (2, -5) = (6-2, 3-(-5)) = (4, 8)
The length of segment PR can be considered to be the length of the hypotenuse of a right triangle with these leg lengths.
... ║PR║ = √(4² +8²) = √80
... ║PR║ = 4√5
Answer:
(x-9) (x-3)
Step-by-step explanation:
x^2 -12x +27
What 2 numbers multiply to 27 and add to -12
-9* -3 = 27
-9-3 = -12
(x-9) (x-3)
