2
explanation:
h(x)= -x-4
h(-6) = -(-6)-4
h(-6) = 6-4
h(-6) = 2
Answer:
4/3 pi radius cubed
Step-by-step explanation:
4/3 pi x (8x8x8)
512 x 4/3 pi
2144.660585
Answer:
The range is -6, 4 , 12.
Step-by-step explanation:
If the domain is -4,0,5, x can only be -4 or 0 or 5.
Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.
Sub x for -4
12x+6y=24
12(-4)+6y=24
-48+6y=24
6y = 72
y = 12
Sub x for 0
12x+6y=24
12(0)+6y=24
6y = 24
y = 4
Sub x for 5
12x+6y=24
12(5)+6y=24
60 + 6y = 24
6y = -36
y = -6
The possible values of y are -6, 4 ,12 which is the range.
In set notation: R = {y|y=-6,4,12}
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics

Since we know that all angles in a triangle add up to
, we can solve for
and substitute it back into
to find
.

Remove the parentheses and combine like terms.

Add
to both sides of the equation.

Divide both sides of the equation by
.

Now that we have the value of
, we can substitute it back into
to find
.
