Answer:The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
explanation:
Factor x out of
x
^2
−
16
x
.
Factor x out of x
2
.
x
⋅
x
−
16
x
=
0
Factor x out of
−
16
x
.
x
⋅
x
+
x
⋅
−
16
=
0
Factor x out of x
⋅
x
+
x
⋅
−
16
.
x
(
x
−
16
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to 0
x
=
0
x
−
16
=
0
Set the first factor equal to 0
.
x
=
0
Set the next factor equal to 0
and solve.
Set the next factor equal to 0
x
−
16
=
0
Add 16 to both sides of the equation.
x
=
16
The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
x
=
0
,
16
Answer:
<h2>84.78</h2>
Step-by-step explanation:
We have the area of a circle

The sector with a central angle of

Calculate, what part of 360° is an angle 120°:

The same part of an area of a circle is an area of a segment.
Therefore:

Use π ≈ 3.14

The area of a circle is a= 2 pi r ... so just Take half of that pi (radius) ... and the radius is 3 because 6 is the length across the circle ot the diameter and the diameter is 2 times the radius... your answer is 3.14 (3) = 9.42
Answer:
Subtract 80 from 83 . The result of division of 8310 is 8 with a remainder of 3 .
Answer:
The system of equations has no solutions
Explanation:
Given the system of equations:
3x - 9y + 9z = 44 ..........................................................(1)
2x + 6y - 5z = -18 ..........................................................(2)
x - 3y + 3z = 14 ...............................................................(3)
Solving by elimination, multiply (3) by 2
2x - 6y + 6z = 28 ............................................................(4)
Subtract (2) from (4)
-12y + 11z = 46 .................................................................(5)
Multiply (3) by 3
3x - 9y + 9z = 42 ............................................................(6)
Subtract (6) from (1)
0x + 0y + 0z = 30
This is impossible, and we conclude that the equation has no existing solutions