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Butoxors [25]
3 years ago
12

Select all statements that are true about the linear equation.

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0
<h2>Linear equations</h2><h3>Concept</h3>

Linear equations, or a straight line on a graph, generally consist of two variables, x, and y - as well as slope.

<h3>Utilization</h3>

You have been provided a linear equation in slope-intercept form (y=mx+b). Let's look at the true and false statements now:

The graph of the equation is the set of all points that are solutions to the equation, TRUE or FALSE. The answer to this is true, because any point on the line should provide a valid solution to the problem. TRUE

The point (10, 3) is on the graph of the equation. We have already determined that in order for a point to be on the line - it must be a solution... so, plug it in and test:

y = 12x - 2\\3 = 12(10) - 2\\3 = 120 - 2\\3 = 118

3 is not equal to 118, so the point (10,3) is not on this line. FALSE

The point (−2,−1) is on the graph of the equation. Use the same setup as before:

y = 12x - 2\\-1 = 12(-2) - 1\\-1 = -24 - 1\\-1 = -25

-1 is not equal to -25, so this point is once again, not on the line. FALSE

The graph of the equation is a single point representing one solution to the equation. This is nearly the inverse of the first statement, so we can rule this out as well. FALSE

<h3>Answer</h3>

The only true statement here seems to be The graph of the equation is the set of all points that are solutions to the equation. Hope this helps you!


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Answer:

Part A:

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Part B:

Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²

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Step-by-step explanation:

Part A:

The surface area of a cylinder is given by

A= 2πrh + 2πr²

Where h= height and radius = r

But we have the height twice as radius so h= 2r

So putting h= 2r we get

A= 2πr(2r) + 2πr²

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Part B:

Cost = Rate * area of the wall + rate * area of the top and bottom

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and area of the side = 2πrh

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Part C:

Already done above.

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2 years ago
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