The diameter is the distance from one side of a circle to the other, if you cross through the center. The circumference is the distance around the circle. The circumference is equal to two time pi time the radius (C=2*pi*r)
Answer:
See description below.
Step-by-step explanation:
To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.
Example:
y = 2x -1
y= -1/2 +5
Answer:
<h2>The answer is option C</h2>
Step-by-step explanation:
![3( { \tan }^{2} \theta - { \sec }^{2} \theta)](https://tex.z-dn.net/?f=3%28%20%20%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20-%20%20%20%20%7B%20%5Csec%20%7D%5E%7B2%7D%20%20%5Ctheta%29)
Using trigonometric identities
That's
![1 + { \tan }^{2} \theta = { \sec }^{2} \theta](https://tex.z-dn.net/?f=1%20%2B%20%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20%20%3D%20%20%20%7B%20%5Csec%20%7D%5E%7B2%7D%20%20%5Ctheta)
Rewrite the expression
That's
![3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\](https://tex.z-dn.net/?f=3%28%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20-%20%281%20%2B%20%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%29%29%20%5C%5C%20)
Simplify
We have
![3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)](https://tex.z-dn.net/?f=3%28%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20-%201%20-%20%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%29%20%5C%5C%203%28%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20-%20%7B%20%5Ctan%20%7D%5E%7B2%7D%20%5Ctheta%20-%201%29)
So we have
3( - 1)
We have the final answer as
<h2>- 3</h2>
Hope this helps you
80 miles per hour is 128.74752 kilometers per hour
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
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x + y = 20287
0.12x = 0.09y + 492.99
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put the system of linear equations into standard form
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x + y = 20287
0.12x - 0.09y = 492.99