A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

You need to find the value of b so solve the first equation in terms of x:

5b + x = 8
x = 8 - 5b

then substitute the result (8 - 5b) into the second equation:

8b - 9(8 - 5b) = -1
8b + (-9 x 8) + (-9 x -5b) = -1
8b - 72 + 45b = -1
8b + 45b = -1 + 72
53b = 71
b = \( \frac{71}{53} \)
b = 1\(\frac{18}{53}\)

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with d° = 151, the value of x° is 151.

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, 0) and (2, -4) so the slope becomes: