Answer:
A (2,-2.5)
Step-by-step explanation:
Is 2 units right and 2.5 units down, right where point C is.
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
The first blank is 69 degrees
Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
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You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2