Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2 = 24
Multiply each side by 3/2
3/2 *2/3 x^2 = 24*3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = sqrt(36)
x = ±6
The smallest solution is -6
The largest solution is 6
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
The quotient of some number and four.
Answer:
Step-by-step explanation:
Use the table to find the slope and y-intercept
<u>Find the slope:</u>
- m = (6 - 4)/(3 - 1) = 2/2 = 1
<u>Find b using the pair (1, 4):</u>
- 4 = 1*1 + b
- b = 4 - 1
- b = 3
<u>The line is:</u>
The y-intercept is 3