7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
Obtuse triangle.
Step-by-step explanation:
Side a = 5
Side b = 2
Side c = 4
Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad
Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad
Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad
Since one angle is above 90 degrees, the triangle is obtuse triangle.
This cannot be an acute triangle.
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
Domain: allrealnumbers
Range: f(x) <= -8
Step-by-step explanation:
This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)
This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8
All upward and downward opening parabolas have a domain of all real numbers.