Answer:
The answer is
<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>
Step-by-step explanation:
The general equation of a circle is given by
<h3>x² + y² + 2gx + 2fy + c = 0</h3>
where the center of the center of the circle is given by
<h3>( - g , - f)</h3>
From the question the equation is
x² + y² + 14x + 2y + 14 = 0
Comparing with the general equation above we have
2g = 14 2f = 2
g = 7 f = 1 c = 14
So the center of the circle is
<h3>( - 7 , - 1)</h3>
The radius of a circle is given by

where
g = 7
f = 1
c = 14
Substitute the values into the above formula
That's

we have the final answer as
<h3>radius = 6</h3>
Hope this helps you
Answer:
∅ = 67.71°
Step-by-step explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°
Answer:49
Step-by-step explanation:
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