Step-by-step explanation:
Discriminant = 16k² - 4(2)(-5k)
Since 16k² + 40k < 0, 2k² + 5k < 0, k(2k + 5) < 0.
Therefore -5/2 < k < 0.
The answer to the second question is 8/15
Answer:
A and E would be your answer
Step-by-step explanation:
The answer is 179.451 or 1143π/20.
The arc is 254°. A circle is 360°. This means the arc makes up 254/360 of the circle. We will multiply this fraction by the area of the circle, which is
A = πr² = π(9)² = 81π = 254.34
81π(254/360) = 20574π/360 = 1143π/20 = 179.451
Answer:
C. A reflection over the line y = -x
Step-by-step explanation:
You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).
Put that information in slope-intercept form
y = -1x + 0
You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.
y = -x
