The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then
Putting the values
Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
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To find the amplitude and period you need to be familiar with the following equation. Also you need to know that the standard cos has a period of
and the midline is a line that runs between the max and min of the y-values of the function.
Equations:f(x) = A cos(Bx +C) + D
f(x) = -4 cos(2x -n) + 3
A = amplitude = |-4| = 4
B = 2
C = phase shift = n = 0
D = vertical shift = midline = 3
Amplitude = 4
Find the period:
Find the midline:We know that the amplitude is 4 so we have a range from -4 to 4. The standard y = cos(x) has its midline at 0 so y = 0. This is also true for y = -4 cos(x). In your equation though, you have a vertical shift of +3 so this changes our midline. With an amplitude of 4, which gives us a range from -4 to 4(our y-values), the shift moves this up by 3 so that means we will have new
y-values and a range of -1 to 7. Now we need to find the midline(
the middle of our y-values) of our new range. We can find this by using the following formula
Midline:y = 3
Note, in the following equations that D = 3 = midliney = A (Bx+C) + D
y = -4 (2x + n) + 3
Also, the picture that is attached is what your equation looks like when graphed.
So in plain English it's saying if A Is an element of B, then A and B equals A or B. This is true sometimes
Answer:
Step-by-step explanation:
A
22.5 would be it because the radius of the garden is 25 and the rafius of the horses rope circle is 2.5 then take 25-2.5 which =22.5 so the answer is 22.5
