Answer:
Step-by-step explanation:
Because the function is symmetric about the y-axis, using the cosine function is most appropriate.
<u>Refer to the equation for a cosine function:</u>
<u />
<u />
Amplitude: 
Period: 
Phase shift: 
Midline: 
The amplitude would be the average of the maximum and minimum y-values of the function, which would be 
.
The value of 
in represents the length of the period, so since the length of the period is 
, this means that 
.
The phase shift, , describes the horizontal shift of a function. Because the phase shift is 
, then we can set up the equation 
where we determine 
.
The midline (or vertical shift), 
, is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line 
, therefore, 
.
Putting all our information together, your final equation is:
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
distance = 12.5
Step-by-step explanation:
Use the distance formula to find the distance between any two points
√[(x₂ - x₁)² + (y₂ - y₁)²]
Points: (-4, 10) and (-10, -1)
Step 1. Plug these points into the formula (where the first point indicates the firsts x and y coordinates and the second point indicates the seconds x and y coordinates)
√[(-10 - (-4))² + (-1 - 10)²]
Step 2. Subtract
√[6² + (-11)²]
Step 3. Simplify (exponents)
√[36 + 121]
Step 4. Add
√157
Step 5. Simplify (radical)
12.52
Step 6. Round to the nearest tenth
12.5
Answer:
9
Step-by-step explanation:
By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9
The angle that is coterminal to 425° is the last one:
B = 425° + n*1,440°
<h3>Which measure is of an angle that is coterminal with a 425° angle?</h3>
By definition, for any angle A, we can say that an angle B is coterminal to A if:
B = A + n*360°
where n can be any integer.
So, from the given options, we need to see which one is a multiple of 360°.
Of the given options, the only that meets this condition is the last one:
B = 425° + n*1,440°
Where:
1,440°/360° = 4
Then we conclude that:
425° + n*1,440° is coterminal to 425°.
If you want to learn more about coterminal angles:
brainly.com/question/3286526
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