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.
Length of bridge = 53 meters
Length changes expected due to changes in temperature = expansion or contraction by 21 millimeters (or 0.021 meters)
Let length of bridge at any given time be 'a'
As an absolute value equation, the situation can be expressed as:
⇒ |a-53| < 0.021
Solving the equation
⇒ -0.021 < a-53 < 0.021
⇒ 53 - 0.021 < a < 53 + 0.021
⇒ 52.979 < a < 53.021
Hence, the minimum length of the bridge can be 52.979 meters and the maximum length of the bridge can be 53.021 meters.
Answer:
See Below (it is correct)
Step-by-step explanation:
First point given ---- A(-3,0)
2nd point given ----- B(4,0)
The slope is the "change in quantity y" divided by "change in quantity x"
The change would be from 2nd point to 1st point. So,
Change in quantity y is 0 - 0 = 0
Change in quantity x is 4 - (-3) = 4 + 3 = 7
So, slope would be:
Slope = 0/7 = 0
The slope is 0 (which means it is a horizontal line)
<h3>
Answer: D) 4 units to the left, 6 units down</h3>
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
