This is equal to:
When you add a negative number, it turns into subtraction.
First, I would change it to mixed numbers:
Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:
Now, you simply subtract:
10-9=1
1/4 is your answer.
I hope this helps :)
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• = a₁
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁ = 24 → (1)
Given a₈ = , then
a₁ =
→ (2)
Divide (2) by (1)
=
=
Hence r = =
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × = 24, hence
a₁ = 24 × 27 = 648
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that
sin(2α) = 2 sinα cosα
So,
See what you can do with the others.