Answer:
(5x² +7x -26) units²
Step-by-step explanation:
Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
Answer:
8.7 cm
Step-by-step explanation:
You know the relationship between the diagonal of a rectangular prism and the sides as where x, y and z are the three dimensions of the prism. from your data, or . With some simple calculation you get, or
You forgot to provide the slope but here is how you do this
the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x)
=> (-5 - y) = -50 - (5)x --- add +5 to both sides
=> -y = (-50 + 5) - (5)x --- multiply both sides -1
=> y = 5x + 45 --- this will be your equation.