1)
a) Draw the axis:x-axis is horizontal, y-axis is vertical
b) draw a point on any part of the plane (use color to highlight it)
c) draw a second point on a different part of the plane (again use color)
d) draw the straight line that passes through the two points (use a ruler).
That is it.
2)
a) Draw the axis: x-axis is horizontal and y-axis is vertical
b) Draw a stright line (use a ruler)
c) Draw a second straight line (use a ruler) which is not parallel to the first line. Extend the second line intil it intersects (and passes) the first line. The lines can only intersect in one point (if the lines are parallel they will not intersect each other).
Answer is 7
Work
4C-8= 20
+8
4C=28
28/4=7
Answer:
Step-by-step explanation:
2a + b = 15.7
2(6.3) + b = 15.7
b = 3.1
Answer:
Step-by-step explanation:
This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.
343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is
(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:
(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to
(7x + 6y)(49x^2 - 42xy + 36y^2)
