The <em>correct answer</em> is:
y less than or equal to 0
, or y ≤ 0.
Explanation:
The line drawn tells us what the equation will be that the inequality is formed from. Since the line is a horizontal line, this means it is of the form y=c, where c is some constant.
Since the horizontal line goes through the origin, (0, 0), this means the equation of the line is y=0.
Since the line drawn is solid, this means the inequality symbol will be either greater than or equal to, or less than or equal to. This is because the line is included in the solution set.
Since the graph is shaded below this line, this means our inequality is
y ≤ 0, or
y is less than or equal to 0.
Answer:
2 1/25 or 2.04
Step-by-step explanation:
8 ^ 1/3 + 5 ^ (-2)
Rewriting
(2^3) ^ 1/3 + 1/5 ^2
2 + 1/25
2 1/25
2.04
A dilation has occurred.
Yes the length has been affected; specifically it has been doubled (twice as long).
----------------------------------------------
Notice how the coordinates of (-1,-1) are doubled to get (-2,-2). Likewise when we go from (-2,-4) to (-4,-8). This shows us that we are dilating with a scale factor of 2, with the origin being the center of dilation. The scale factor 2 tells us that
new length = 2*(old length)
So the old figure is not going to be congruent to the new figure
To fully prove that the length has been doubled, you can use the distance formula to calculate the distance from (-1,-1) to (-2,-4) and that distance is sqrt(10) = 3.16 roughly
While the distance from (-2,-2) to (-4,-8) is 2*sqrt(10) = 6.32 roughly, so the distance has been doubled
Answer:
The story jumps forward in time into later eras of human and scientific development. In each era, someone decides to ask the ultimate "last question" regarding the reversal and decrease of entropy.
Step-by-step explanation:
It's a story
