Answer:
First choice
Step-by-step explanation:
The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.
Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.
Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.
The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.
For what problem
Answer pls
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.
We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.
8×1/4 = 2 cm.
You can still find its volume by using the formula 1/3πr^2.
Answer:
The surface area of the gift box is =
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:
in this case, r is not a number, but rather an expression, which is r = .
The height of the gift box is twice the radius, which is h =
To get our curved surface area, we carefully put the expressions for h and r into the equation.
The surface area of the gift box is =
Answer:
14.4 to nearest tenth.
Step-by-step explanation:
By the Pythagoras theorem:-
Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ] where the 2 points are (x1,y1) and (x2,y2)
= √ [ (16-4)^2 + (9-1)^2]
= √ 208
= 14.4