Answer:
The number is 7. If you divide -28 by -4 you get 7, 7×-4=-28
Answer for LCD of fractions 5/6 and 3/8: 24
Step-by-step explanation:
5/6 and 3/8 - Get the multiples of 6: 6, 12, 18, 24, Multiples of 8: 8, 16, 24, 32.
The LEAST common one you can find is 24.
Answer for LCD of fractions 1/2 and 3/5: 10, or C
This one is a bit easier - just find multiples of 5 that are even. The least one is 10.
Answer for LCD of fractions 1/12 and 3/4: 12, or B
Explanation: Multiples of 12 that are multiples of 4 but the least of them: 12.
All numbers except for the square root of 50
Given:
Solution:To solve the equation, it would be best if we remove the root. We remove the root by squaring the equation, but first we need to move the root and the content to the left side.
![\text{sec x} - \sqrt{\text{2 sec x}-1} =0](https://tex.z-dn.net/?f=%5Ctext%7Bsec%20x%7D%20-%20%20%5Csqrt%7B%5Ctext%7B2%20sec%20x%7D-1%7D%20%3D0)
![\text{sec x} = \sqrt{\text{2 sec x}-1}](https://tex.z-dn.net/?f=%5Ctext%7Bsec%20x%7D%20%3D%20%20%5Csqrt%7B%5Ctext%7B2%20sec%20x%7D-1%7D%20)
Then square both side to remove the root
![\text{sec}^2 x= \text{2 sec x}-1](https://tex.z-dn.net/?f=%5Ctext%7Bsec%7D%5E2%20x%3D%20%5Ctext%7B2%20sec%20x%7D-1)
After removing the root, move all terms to the left side
sec² x - 2 sec x + 1 = 0
Do factorization, remember that
a² - 2a + 1 = (a - 1)²
So,
sec² x - 2 sec x + 1 = 0
(sec x - 1)² = 0
sec x - 1 = 0
sec x = 1
![\dfrac{1}{\text{cos x}}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B%5Ctext%7Bcos%20x%7D%7D%20)
= 1
cos x = 1
cos x = cos 0°
x = 0°