what is the equation of the circle with center (0,0) the passes through the point (5,-5). please help
1 answer:
<h3>Answer:</h3>
x² + y² = 50
<h3>Step-by-step explanation:</h3>The circle centered at (h, k) with radius r has equation ...
... (x -h)² + (y -k)² = r²
You have (h, k) = (0, 0), so all we need to do is find r². We can do that by choosing r² so that the equation is true at the given point.
... x² + y² = (5)² + (-5)² = 25 + 25 = 50
Your equation is x² + y² = 50.
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Answer:
x = 65.03°
Step-by-step explanation:
To solve for x, we have to apply trigonometric ratio.
Recall: SOH CAH TOA
From the diagram, we know the following:
Reference angle = x
Hypotenuse = 45
Adjacent = 19
Since we know the Hyp and Adj, we would apply CAH, which is:
Cos x = Adj/Hyp
Plug in the values
x = 65.0250346°
x = 65.03° (nearest hundredth)