Yes they will all be trapezoid
Answer:
all together they cost her $2,339.22
Answer:
- 1) y = (-2/3)x +2/3
- 2) y = (6/5)x -23/5
- 5) y = (-1/6)x +4/3
- 6) y = x -2
Step-by-step explanation:
A simple, mechanical way to do these (perpendicular lines) is ...
- replace any constant with 0
- swap the x- and y-coefficients, negating one
- for point (h, k), replace x with (x-h) and y with (y-k)
- solve for y (to get slope-intercept form)
1) 3x -2y = 0 . . . . . step 1
... 2x +3y = 0 . . . . step 2
... 2(x -1) +3(y -0) = 0 . . . . step 3
... 2x -2 = -3y . . . . eliminate parentheses, subtract 3y
... y = (-2/3)x +2/3 . . . . divide by the coefficient of y
2) 6(x -3) -5(y +1) = 0 . . . . after step 3
... 6x -23 = 5y . . . . . . . . . . simplify, add 5y
... y = (6/5)x - 23/5 . . . . . divide by the coefficient of y
5) (x+4) +6(y-2) = 0 . . . . . after step 3
... x -8 = -6y . . . . . . . . . . . simplify, subtract 6y
... y = (-1/6)x +4/3 . . . . . . divide by the coefficient of y
6) (y +5) = (x +3) . . . . . . . after step 3
... y = x -2 . . . . . . . . . . . . subtract 5
I cannot really graph it but I will try my best to explain.
When you have a coordinate plane draw from right to left, up to down.
Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots
Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.
This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.
If it's an equation, such as y=mx+b, the slope is whatever the value of m is. For example, if the equation was y=2x-4, than the slope would be 2.
When solving this on a graph, choose any 2 whole number points. (preferably close together, because it makes it easier) Count how many lines up/down (the y axis) and how many lines over left/right (the x axis) and put the up/down on the top of a fraction and the left/right on the bottom. for example if up was 2, and right was 3, than it would be 2/3. Down is negative, and to the left is also negative. If there are 2 negatives (one on the top and one on the bottom) than they cancel each other out and become positive. For example: -2/-3 would be the same as 2/3. Hope this helps :)