Answer:
The statement is missing. The statement is -- "A ray can be part of a line."
The answer is : The converse is not true, so Jahmiah is correct.
Step-by-step explanation:
A conditional statement is represented by showing p → q. It means if p is correct or true, then q is also correct or true.
And the converse of p → q can be shown as q → p.
But we know that the converse of a statement is not always true, it may be true and may not be true.
In the context, the statement is " a ray can be a part of a line." And so the converse would be "A line can be a part of the ray".
So by definition we know that a line is continuous line having no end points, it extends in one direction. While a ray starts from a point and extends to infinity in one direction.
Thus ray is part of line but line is not a part of the ray. So the converse of the statement is not correct.
Hence, Jahmiah is correct.
Answer: First Option
<em>The points have the same x-coordinate value.</em>
Step-by-step explanation:
By definition, a relation is considered a function if and only if for each input value x there exists <u><em>only one </em></u>output value y.
So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.
For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.
The line will be parallel to the y axis.
Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.
There <u><em>are two output</em></u><em> </em>values (y = 8, y = 5) for the same input value x = 2.
In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.
<u>Then the correct option is:
</u>
<em>The points have the same x-coordinate value.</em>
Answer:
The correct answer is C if the answers are the same as the picture attached.
If the equation has roots of +-3i. The equation would be,
(x + 3i)(x - 3i)
which is equal to x^2 - (3i)^2 = x^2 + 3.
Using division either by synthetic or long method,
(x^3 + x^2 + 9x + 9)/(x^2 + 3)
is equal to,
x + 1 or x = -1
Thus, the answer is the second choice.