First, distrbute -3 to both -4y and 3
-3(-4y) = 12y -> note that two negatives multiplied = one positive answer
-3(3) = -9 -> note that one negative and one positive = one negative answer
12y - 9 + 7y -> combine like terms
12y + 7y - 9
19y - 9 -> answer
Your answer is 19y - 9
hope this helps
~Crystal
For this case we have the following equation:
V = I * R
Where,
V: voltage
I: current
R: resistance
By clearing R we have:
R = V / I
Substituting the values:
R = (20) / (0.57)
R = 35.09 Ohms
Answer:
The resistance of the light bulb is:
R = 35.09 Ohms
The correct answer is C
Hope this helped!
Answer: 3.44
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
3 × 9 = 27
Step 2: Add the product you got in Step 1 to the numerator:
27 + 4 = 31
Step 3: Divide the sum from Step 2 by the denominator:
31 ÷ 9 = 3.444444
The answer to 3 4/9 in decimal form is displayed below:
3 4/9 ≈ 3.44
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
