9514 1404 393
Answer:
{-8, -4, -2, -1, 1, 2, 4, 8}
Step-by-step explanation:
Possible rational roots are positive and negative divisors of the constant 8:
{-8, -4, -2, -1, 1, 2, 4, 8}
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<em>Additional comment</em>
This polynomial has no rational roots. Its two real roots are both negative and irrational.
The correct answer is option D.
<h3>What is Straight Line?</h3>
A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Thus, the correct answer is option D.
Learn more about Straight line from:
brainly.com/question/20492082
#SPJ1
If b=2 and c=3, then
a= √(3²-2²) = √(9-4) = √5
If a=3 and c=6, then
b= √(6²-2²) = √(36-9) = √27 = 3√3
If a=4 and b=6, then
c= √(4²+6²) = √(16+36) = √52 = 2√13
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
<span>2y-3x=4
Add 3x to both sides
2y=3x+4
Divide both sides by 2 so that the only thing remaining on the left side is the variable y.
Final Answer: 3/2x+2</span>
