The answer is 2(x + 3)(x^2 + 1).
Steps:
2x^3 + 6x^2 + 2x + 6
2x^3 + 2x + 6x^2 + 6
2x(x^2 + 1) + 6(x^2 + 1)
(2x + 6)(x^2 + 1)
2(x + 3)(x^2 + 1)
Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| =
2-9i
so the absolute value is |y|
|y|=√
2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
|
−
2
−
i
|
=
√
5
Explanation:
Absolute value of a complex number a
+
i
b is written as |
a
+
i
b
| and its value as √a
2
+
b
2
.
Hence, absolute value of −
2
−
i is √
(
−
2
)
2
+
(
−
1
)
2
=
√
4
+
1
=
√
5
.
Step-by-step explanation:
That line is in point-slope form:

Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.

Reciprocal:

Multiply by -1:

We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.


Negatives cancel out:

Distribute 1 into the parenthesis:

Subtract 2 to both sides:
No table needed, just multiply 630 by 0.80 to get 504. 504 would be 80% of 630.
:)