Answer:
a=1/3
Step-by-step explanation:
from the point on the graph
x=4 and y=8
substitute them into the equation:
y=a(x-2) (2x+4)
you will get
8=a(4-2) (2(4)+4)
8=a(2) (8+4)
8=a(2) (12)
8=2a×12
8=24a
divide both sides by 24
8/24=24a/24
1/3=a or a=1/3
Answer: Approximately 52.87 cm.
Step-by-step explanation:
Circumference is diameter times pie to divide the circumference by pie.
166/3.14 use 3.14 as an approximation for pie.
166/3.14 = 52.87 rounded to the nearest hundredth
Answer:
add 8x to both sides of the inequality
Step-by-step explanation:
First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First,

. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that

. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.
Use the sin identity to find that side. Sin(30) = a/12...12 sin(30) = a, and a = 6