Answer: (b) The focus of an ellipse is always located precisely at the center of the ellipse.
Step-by-step explanation:
An ellipse is defined as <em>"a closed curve with two axes of symmetry (major axis and minor axis) that results in cutting the surface of a cone by an oblique plane to the axis of symmetry with an angle greater than that of the generatrix with respect to the axis of revolution"</em>. That is why the ellipse is considered a conic figure.
To understand it better: an ellipse has two points on its major axis that are equidistant from the center , which are called foci, being this distance constant. In addition, the eccentricity allows to know how far the foci are from the center of the ellipse.
Therefore, the statement that indicates an ellipse has only one focus located precisely at the center is incorrect.
Those two angles have to add up to 180° as that is a straight angle, so 5x - 10 + 6x + 10 = 180. combine like terms to get 11x - 10 + 10 = 180. the 10 cancels, so 11x = 180. divide both sides by 11 to get x = approximately 16.36.
FYI - I CANNOT TELL IF THAT ACTUALLY SAYS 5
Answer:
unsolvable because the second equation is just -2.5 times the first equation.
Step-by-step explanation:
2x-6y=12 then 2x=12+6y x=6+3y
-5x+15y=-30
substitute x
-5(6+3y)+15y=-30
-30-15y+15y=-30
y=y
First, note that 1 meter is equal to 3.28084 feet.
Next, multiply
2000 m • 3.28084 = 6561.68 ft
Step-by-step explanation:
AC = AB + BC
25x - 19 = 9x + 7 + 5x + 7
25x - 19 = 14x + 14
25x - 14x = 14 + 19
11x = 33
x = 33/11
x = 3
AB = 9x + 7
= 9(3) + 7
= 27 + 7
= 34
