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Yanka [14]
3 years ago
11

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

1,1

Step-by-step explanation:

Using the rise 2 run 1 method, you would get 1,1. Rise 2 (y + 2) run 1 (x + 1)

alexgriva [62]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A
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Answer:

[M⁰L¹T⁰]

Step-by-step explanation:

given expression,

from the expression  x = A sin (2 π f t),

A and f are constants

dimension of A =?  

As the sine factor is dimensionless means that sine function will not have any dimension it is dimensionless.

so, remaining  

x = A sin ()

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Step-by-step explanation:

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

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x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

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A = 1 . 9/4

A = 9/4

A = 2.25

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