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3 years ago

Help me out please. i need to find the function rule,

Mathematics

1 answer:

Ksivusya [100]3 years ago

7 0

Replace x in the equations and see which one gets the matching y :

-5(0) = 0 +1 = 1

-5(1) = -5 + 1 = -4

-5(-1) = 5 +6 = 6

The first equation works.

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In degrees, what is the sum of the exterior angles of a square?

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The sum exterior angles of a square are:
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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

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substitute

$z=\frac{4}{8}$

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$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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3 years ago

Solve using substitution. y = –1 2x − y = –1

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X =1 I had this question

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2 years ago

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3 years ago

A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the neare

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Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a = height

b = base = 6 in / 2 = 3 in

c = hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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