Answer:
Below in bold.
Step-by-step explanation:
The zeroes ( = x-intercepts) are x = -3 and x = -1.
So the x -coordinate of the vertex is between x = -3 and x = -1.
The actual x-coordinate is halfway between these value: at x = -2.
Answer:
Variance = 4.68
Step-by-step explanation:
The formula for the variance is:

Where:

The mean can be calculated as each value multiplied by its probability


Replacing the mean and the summatory of X:

Answer:
777.9 meters
Step-by-step explanation:
Notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. Now, we can set up an equation: cos (50 degrees) = 500 / x. Use a calculator to find that the answer is 777.9.
Answer:
Similar
Step-by-step explanation:
We can say that the triangles are similar by looking at the angle measurements
Angle B = 35
Angle F = 55
Both angles A and D = 90 because these are right triangles
We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180
Same rule applies to angle C
Answer:
7. b
8. a
Step-by-step explanation: