Answer:

Step-by-step explanation:
Solving for the variable
, given that :

We can first start start by subtracting
from both sides of the equation:

Now, we can divide both sides of the equation by the coefficient of
, which would be
:

Applying the fraction rule
:

Then, apply the fraction rule 
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Answer:
72°
Step-by-step explanation:
tan x= PN/OP=95/31
⇒x ≈ 72°
Answer:
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
Step-by-step explanation:
We have two points which is y intercepts (0,-3) and (0,3).
We know that the major axis is 2a and secondary axis is 2b
These two points are vertical top of the ellipse which they give us value of half secondary axis b = 3
The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5
The equation of the ellipse is:
x²/a² + y²/b² = 1 or b²x² + a²y² = a²b²
When we replace value of a and b we get:
x²/5² + y²/3² = 1 or 3²x² + 5²y² = 5² · 3² and finally
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
God with you!!!