Answer:
tan²x + 1 = sec²x is identity
Step-by-step explanation:
* Lets explain how to find this identity
∵ sin²x + cos²x = 1 ⇒ identity
- Divide both sides by cos²x
∵ sin x ÷ cos x = tan x
∴ sin²x ÷ cos²x = tan²x
- Lets find the second term
∵ cos²x ÷ cos²x = 1
- Remember that the inverse of cos x is sec x
∵ sec x = 1/cos x
∴ sec²x = 1/cos²x
- Lets write the equation
∴ tan²x + 1 = 1/cos²x
∵ 1/cos²x = sec²x
∴ than²x + 1 = sec²x
- So we use the first identity sin²x + cos²x = 1 to prove that
tan²x + 1 = sec²x
∴ tan²x + 1 = sec²x is identity
Answer:
3.) ![\displaystyle y - 4 = 4[x - 1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%204%20%3D%204%5Bx%20-%201%5D)
2.) ![\displaystyle y + 5 = 2[x + 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%205%20%3D%202%5Bx%20%2B%202%5D)
1.) ![\displaystyle y + 3 = 1\frac{1}{5}[x + 5]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%203%20%3D%201%5Cfrac%7B1%7D%7B5%7D%5Bx%20%2B%205%5D)
Step-by-step explanation:
In the Point-Slope Formula,
all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
* 
I am joyous to assist you anytime.
Answer:
a: about 800? nonfiction books in valley
b: valley and central has more fiction than nonfiction books
c: there's probably about 2600 books in hillside
Step-by-step explanation:
Hello!
Since D is the midpoint and the two equations are and both sides of point D the equations equal each other
9x - 7 = 3x + 17
Now you solve it algebraically
Add 7 to both sides
9x = 3x + 24
Subtract 3x from both sides
6x = 24
Divide both sides by 6
x = 4
Now we put this into both equations and add them
9(4) - 7 = 29
3(4) + 17 = 29
29 + 29 = 58
The answer is 58 units
Hope this helps!
I am assuming you are trying to write seven to the power of fourteen and seven to the power of two, and if that is what you meant the correct answer is 13841287201.