Simplifying
9x + -3(x + 8) = 6x + -24
Reorder the terms:
9x + -3(8 + x) = 6x + -24
9x + (8 * -3 + x * -3) = 6x + -24
9x + (-24 + -3x) = 6x + -24
Reorder the terms:
-24 + 9x + -3x = 6x + -24
Combine like terms: 9x + -3x = 6x
-24 + 6x = 6x + -24
Reorder the terms:
-24 + 6x = -24 + 6x
Add '24' to each side of the equation.
-24 + 24 + 6x = -24 + 24 + 6x
Combine like terms: -24 + 24 = 0
0 + 6x = -24 + 24 + 6x
6x = -24 + 24 + 6x
Combine like terms: -24 + 24 = 0
6x = 0 + 6x
6x = 6x
Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 0
Solving
0 = 0
If you solve for x you get:
x=(<span><span><span>5/2)</span>y</span>+<span>10
</span></span>
If you solve for y you get:
y=(<span><span><span>2/5)</span>x</span>−<span>4</span></span>
Answer:
15.1 mm²
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
(where r is the radius and h is the height)
Given:
Substitute given values into the formula:
⇒ Lateral surface area = 2π(1.2)(2)
= 4.8π
= 15.1 mm² (nearest tenth)