Answer:
<em>18x² - 84x + 96</em>
Step-by-step explanation:
(5 × 2 - 6x + 2) × (4 × 2 - 3x)
5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 48x + 18x² - 6x
96 - 84x + 18x²
18x² - 84x + 96
Hope this helps! :)
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...

The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:

By rearranging the equation, we get:

By taking the inverse tan, we get:
