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3 years ago

Find the slope of the line passing through (3, 7) and (6, 11). Note: Use the y-y/x-x formula!

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

Slope of the line $m = \frac{4}{3}$

Step-by-step explanation:

Explanation:-

Given points are ( 3,7) and (6,11)

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m = \frac{11-7}{6-3}$

$m = \frac{4}{3}$

Slope of the line $m = \frac{4}{3}$

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The coordinates of the midpoint of AB are:

umka2103 [35]

The answer should be
c) (-2,5)

It is the only point that falls on the line and when you count the units from (-7,2) to (-2,5) it is 5 units and when you count the distance from (3,8) to (-2,5) you also get 5 units, proving that (-2,5) is in the middle of the line.

4 0

4 years ago

Read 2 more answers

Graph this function: y = 2x

77julia77 [94]

Graph is attached below.

Step-by-step explanation:

We have to graph function y = 2x,

From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.

For example,

x = 0

y = 2(0)

y = 0

So, point would be (0,0)

x = 1

y = 2(1)

y = 2

So, point would be (1,2)

x = 3

y = 2(3)

y = 6

So, point would be (3,6)

x = -1

y = 2(-1)

y = -2

So, point would be (-1,-2)

x = -3

y = 2(-3)

y = -6

So, point would be (-3,-6)

By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.

Keywords: function, graph

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6 0

3 years ago

It costs $0.50 to download an individual song and $4.00,

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

an album is 4$ and one song is 0.50$divide 50 by 4$ making 8 then multiply by2

6 0

2 years ago

Read 2 more answers

Slope form of y=-3/4x+-9

schepotkina [342]

The answer to the question is -3/4 for the slope

y = -3/4x - 9

5 0

3 years ago

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen

3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

$Surface\ Area = 181.5cm^2$

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

$Volume =x^2 * h$

$Volume =x^2h$

181.5 =x^2h

The surface area (S) is calculated as this:

$S = 2(x^2 + xh + xh)$

$S = 2(x^2 + 2xh)$

$S = 2x^2 + 4xh$

Substitute 181.5 for S

$181.5 = 2x^2 + 4xh$

Make h the subject:

$4xh = 181.5 - 2x^2$

$h = \frac{181.5 - 2x^2}{4x}$

Substitute $h = \frac{181.5 - 2x^2}{4x}$ in $Volume =x^2h$

$V = x^2(\frac{181.5 - 2x^2}{4x})$

$V = x(\frac{181.5 - 2x^2}{4})$

$V = \frac{1}{4}(x)(181.5 - 2x^2)$

$V = \frac{181.5x}{4} - \frac{2x^3}{4}$

$V = \frac{181.5x}{4} - \frac{x^3}{2}$

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

$dV = \frac{181.5}{4} - \frac{3x^2}{2}$

Set to 0

$0 = \frac{181.5}{4} - \frac{3x^2}{2}$

$\frac{3x^2}{2} = \frac{181.5}{4}$

Multiply through by 4

$4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4$

$2*3x^2 = 181.5$

$6x^2 = 181.5$

$x^2 = \frac{181.5}{6}$

$x^2 = 30.25$

$x = \sqrt{30.25$

$x = 5.5$

Recall that:

$h = \frac{181.5 - 2x^2}{4x}$

$h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}$

$h = \frac{181.5 - 60.5}{22}$

$h = \frac{121}{22}$

$h = 5.5$

So, we have:

$h = 5.5$

$x = 5.5$

Hence, the base and height of the solid is 5.5cm

7 0

3 years ago