Which equation has no solution?

1 answer:

swat323 years ago

7 0

Since the choices are not defined, here's an example.

This Equation Has No Solution

$5x + 6 = 5x - 3 \\ 5x + (6 - 6) = 5x - (3 - 6) \\ 5x = 5x - 9 \\ (5x - 5x) = (5x - 5x) - 9 \\ 0 = 0 - 9 \\ 0 = - 9 \\ 0 \: does \: not \: equal \: - 9$
Since, 0 does not equal -9, this is no solution, IF our results were 7=7 then we would have infinite solutions.

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What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to t

stealth61 [152]

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume Formula [Cylinder]:
$\displaystyle V = \pi r^2 h$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

[Volume Formula - Cylinder] Substitute in variables:
$\displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})$
[Order of Operations] Evaluate:
$\displaystyle V = 500 \pi \ \text{cm}^3$
Approximate:
$\displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }$