Y intercept is (0,4) and the slope is -3
Answer: [20x, 8y] [9x, 16y]
Step-by-step explanation:
Go on x value 20 and go up to 8 on y value.
Go on x value 9 and go up 16 on y value.
Answer:
the answer is A: supplementary
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points =
[ ]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
Use the remainder theorem: it says that if <em>x</em> - <em>c</em> is a linear factor of a polynomial <em>f(x)</em>, then the remainder upon dividing <em>f(x)</em> by <em>x</em> - <em>c</em> is equal to <em>f(c)</em>.
In this case,
<em>f(p)</em> = <em>p</em>⁴ - <em>p</em>² - <em>p</em> - <em>k</em>
and <em>p</em> - 1 is a factor of <em>f(p)</em>. We have
<em>f </em>(1) = 1⁴ - 1² - 1 - <em>k</em> = -(<em>k</em> + 1)
Because <em>p</em> - 1 divides <em>f(p)</em>, the remainder is 0, which means
-(<em>k</em> + 1) = 0
<em>k</em> + 1 = 0
<em>k</em> = -1