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3 years ago

What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .

Mathematics

1 answer:

shtirl [24]3 years ago

7 0

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

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Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'

MArishka [77]

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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6 0

2 years ago

Help- and also show the work please-

svetlana [45]

A fraction is a way to describe a part of a whole. The correct option is C.

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

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A proper fraction is a fraction whose numerator is smaller than the denominator. When a proper fraction is raised to a positive exponent greater than 1, then the product decreases but does not reach 0.

Hence, the correct option is C.

Learn more about Fraction:

brainly.com/question/1301963

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8 0

2 years ago

Find the product. Write your answer as a mixed number in simplest form 5 3\4 x 4 2\9

qaws [65]

The product of 5 3/4 X 4 2/9 is equal to 24 5/18

4 0

3 years ago

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional

VLD [36.1K]

in the urban ecosystem, the air is always is so much pollute, the waters too are always so much polluted hence not so much good for non human life. but in the undeveloped forest ecosystem, the air is so much fresh, the environment and the waters too hence find it better in the place.

¯\(°_o)/¯ by the way I hate edgunity

3 0

3 years ago

Read 2 more answers

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago