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3 years ago

The difference of twice a number and 3 is at most -21

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : rotation -90° and translation (0,2)

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$

2. translation (0,2)

$\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]$

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

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3 years ago

Read 2 more answers

a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

alexdok [17]

Answer:

The probability that the first die is a 2 or the second die is a prime = 1/12

Step-by-step explanation:

It is given that,a fair (6 sided) die is rolled TWO times.

The sample space for rolling 2 dies

(1, 1), (1, 2) .......... (1,6)

(2,1) ..........................

(6, 1) ..........................(6, 6)

There are total of 6^2 = 36 sample space

To find the probability

The prime numbers from 1 to 6 are 2, 3 and 5

the possible outcomes are(2,1), (2, 3) and (2, 5)

The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12

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