Classify the system of equations x=-5-y 4+y=-x+3
1 answer:
Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
<em>Equation 1</em>
<em>Equation 2</em>
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You can notice that the slope of the <em>Equation 1 </em>is:
And the slope of the <em>Equation 2 </em>is:
Observe that , then you can conclude that the lines are parallel and the System of equations has No solution.
When there is no solution the classification of the system of equations is: "Inconsistent".
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The volume of the composite figure is 263.76 inches³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is
- V = πr²h ⇒ Bh
The volume of a cone of radius r and height h is
- V =
πr²h ⇒
The volume of a sphere with radius r is
- V =
πr³
∵ The figure is made up of a cylinder, a cone, and a half sphere
∵ The radius of the cylinder = 3 inches
∵ The height of the cylinder = 6 inches
∵ π = 3.14
- Use the rule of the volume of the cylinder above
∴ The volume of the cylinder = (3.14)(3)²(6)
∴ The volume of the cylinder = 169.56 inches³
∵ The radius of the cone = 3 inches
∵ The height of the cone = 4 inches
∵ π = 3.14
- Use the rule of the volume of the cone above
∴ The volume of the cone =
∴ The volume of the cone = 37.68 inches³
∵ The radius of the half sphere = 3 inches
∵ π = 3.14
- Use the rule of the volume of the sphere above to find the
volume of the half sphere
∴ The volume of half sphere =
∴ The volume of half sphere = 56.52 inches³
To find the volume of the composite figure add the volumes of the three shapes above
∵ The volume of the composite figure = 169.56 + 37.68 + 56.52
∴ The volume of the composite figure = 263.76 inches³
The volume of the composite figure is 263.76 inches³
Learn more:
You can learn more about the volume in brainly.com/question/12497249
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