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exis [7]
3 years ago
7

A line passing through the points (6,-2) and (-2,4). Complete the work shown

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:

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Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, π). A) y = π B) y = πx C
Leviafan [203]

Answer:

<h2>A) y = π</h2>

Step-by-step explanation:

\text{The equation of a horizontal line:}\ y=a.\\\\\text{The equation of a vertical  line:}\ x=a\\\\a-any\ real\ number\\\\\text{We have}\ x=-5.\ \text{It's a vertical line.}\ \text{The line that is perpendicular}\\\text{to the vertical line is a horizontal line.}\\\\\text{The line passes through the point}\ (1,\ \pi)\to x=1,\ y=\pi.\\\\\text{Therefore the equation is}\ y=\pi

5 0
3 years ago
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,
omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

s = 4 -- base sides

V = 36 -- Volume

<u>Pyramid B</u>

s = 6 --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

V = \frac{1}{3} * B * h

Where B represents the area of the base equilateral triangle, and it is calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

B = \frac{1}{2} * s^2 * sin(60)

B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}

B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}

B = 4\sqrt 3

The height is calculated from:

V = \frac{1}{3} * B * h

This gives:

36 = \frac{1}{3} * 4\sqrt 3 * h

Make h the subject

h = \frac{3 * 36}{4\sqrt 3}

h = \frac{3 * 9}{\sqrt 3}

h = \frac{27}{\sqrt 3}

To calculate the volume of pyramid B, we make use of:

V = \frac{1}{3} * B * h

Since the heights of both pyramids are the same, we can make use of:

h = \frac{27}{\sqrt 3}

The base area B, is then calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where

s = 6

So:

B = \frac{1}{2} * 6^2 * sin(60)

B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}

B = 9\sqrt 3

So:

V = \frac{1}{3} * B * h

Where

B = 9\sqrt 3 and h = \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9 * 27

V = 81

6 0
3 years ago
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11 3/4 x 15 3/4 ?????????
Novay_Z [31]

Answer:

185 1/16

Step-by-step explanation:

3 0
2 years ago
Which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?
lisabon 2012 [21]
Y = -7x + 2
y = 9x - 14

-7x + 2 = 9x - 14
14 + 2 = 9x + 7x
16 = 16x
1 = x

y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5

solution is : (1,-5) <==
4 0
2 years ago
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Which line segment is drawn in the figure?<br><br> A.YZ<br> B.WY<br> C.XZ<br> D.WZ
Dima020 [189]
The line segment shown in the figure is C. XZ. A line segment is a line that is bounded by 2 endpoints, hence the line is not infinite. As shown in the figure, only points X and Z are visibly connected. There are no visible lines connecting the other points together.
6 0
3 years ago
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