A line parallel to the y-axis that passes through (77,88) is x = 77. There is no slope-intercept form of this equation if our coordinate system is based upon a horizontal x-axis and a vertical y-axis.
ANSWER X=4. You basically plug what y equals to into the second equation the solve for x.
Answer:
x=2<br/>y=1
Step-by-step explanation:
\left\{ \begin{array} { l } { 4 x + y = 9 } \\ { 3 x - 2 y = 4 } \end{array} \right.
4x+y=9,3x-2y=4
4x+y=9
4x=-y+9
x=\frac{1}{4}\left(-y+9\right)
x=-\frac{1}{4}y+\frac{9}{4}
3\left(-\frac{1}{4}y+\frac{9}{4}\right)-2y=4
-\frac{3}{4}y+\frac{27}{4}-2y=4
-\frac{11}{4}y+\frac{27}{4}=4
-\frac{11}{4}y=-\frac{11}{4}
y=1
x=\frac{-1+9}{4}
x=2
x=2,y=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)
Answer:
12oz
Step-by-step explanation:
30oz - 18oz = 12oz
