Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Start by completing the square.
x^2-8x-3y^2+12y=-16
x^2-8x+16-3(y^2-4y+4)=-16+16-12=-12
Notice the addition of those constants allows us to factor these expressions and because we did it to both sides it’s completely legit.
(x-4)^2-3(y-2)^2=-12
However, it seems we get a negative radius, which is not allowed. I think you entered the problem incorrectly.
Answer: <em>x=-4</em>
Step-by-step explanation:
<em>-4x=16</em>
<em>Divide by -4 on each side to cancel it out</em>
<em>x=-4</em>
The answer is <span>a number that can be written as a ratio of two integers.
I hope this helps!</span>
3 1/2 or 7/2
keep the 3 yards and round the 4/5 to half a yard or 1/2 and just in case turn into a improper fraction
