A computer network manager wants to test the reliability of some new and expensive fiber-optic Ethernet cables that the computer
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Answers:
Equation is
Center is (-1, -2)
Radius = 5
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Work Shown:
center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Answer:
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc comprising
Remember that
The diameter divide the circle into two equal parts
so
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees
The inscribed angle is 90 degrees because
therefore
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because