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2 years ago

Quadrilateral WXYZ has vertices at the points W(-3,2), X(-1,3), Y(0,1), and Z(1,0). Find the slope of side xy.

Mathematics

1 answer:

Genrish500 [490]2 years ago

5 0

Answer:

The slope of the side xy is -2

Step-by-step explanation:

To find the slope of the side xy, we use the slope formula

we have the formula as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-1,3)

(x2,y2) = (0,1)

m = (1-3)/(0 + 1) = -2/1 = -2

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Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert

puteri [66]

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .

It is given that

A pyramid $\rm frustum$ has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a $\rm frustum$ is given by

V = (1/2) * ( Area of base + Area of $\rm frustum$ ) * height of the $\rm frustum$ from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

brainly.com/question/13057463

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1 year ago

Suppose a, b, and c are all negative numbers. How do you find the distance between the points (a,b) and (a,c)?

Alex787 [66]

Answer:

Step-by-step explanation:

Let's say if b = -2 and c = -3

-2-(-3) = 1 that would be the distance between them. If it was D then you would need absolute value.

Hope this helps! Have a nice day!

4 0

2 years ago

Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.

Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

<u> Dilation:</u>

Transformation in which the image has the same shape as the pre-image, but the size changes.

Dilation preserves betweenness of points.

Angle measures do not change.

<u>Translation:</u>

Transformation in which the image is the same size and shape as the pre-image.

Translation preserves betweenness of points.

Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:

<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>

6 0

3 years ago

Read 2 more answers

What is the slope of the line y=2x+5?

sweet [91]

Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!

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2 years ago

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The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds ca

Anni [7]

Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.

<h3>What is the period of the cosine function?</h3>

The cosine function is defined by:

f(x) = acos(bx + c) + d.

For the period, we have to look at coefficient b, and the period is:

P = 2π/|B|

For this problem, the function is given by:

h(x) = 15 cos(π/20)

Hence B = π/20, and the period is:

P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.

Hence it takes 40 seconds for the wheel to complete one turn.

More can be learned about the period of trigonometric functions at brainly.com/question/12502943

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7 0

1 year ago