The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 7)
sa = 2π(64) + 2π(56)
sa = (2 x 64)π + (2 x 56)π
sa = 128π + 112π
sa = 240π

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

6b - 6 < \( \frac{b}{-7} \)
-7 x (6b - 6) < b
(-7 x 6b) + (-7 x -6) < b
-42b + 42 < b
-42b + 42 - b < 0
-42b - b < -42
-43b < -42
b < \( \frac{-42}{-43} \)
b < \(\frac{42}{43}\)

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, 5) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = x + 3