Assuming "i" is an imaginary unit:
Answer:
x < 1 or x > 6
Step-by-step explanation:
1)
Area of bigger rectangle
A = (x+1)(x+1) = x^2 + 2x + 1
2)
Area of smaller rectangle
A = 5(x - 7) = 5x - 35
3)
The difference:
(x^2 + 2x + 1) - (5x - 35)
= x^2 + 2x + 1 - 5x +35
= x^2 - 3x + 36
area of the shaded region = x^2 - 3x + 36
The answer is C. 10 because you only need 2 unit cubes to make a rectangular prism
Answer:
y ≥ -x +2
Step-by-step explanation:
The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...
y = -x +2
The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".
We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:
y ≥ -x +2
Another way to write this is ...
x + y ≥ 2
