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4 years ago

Which of the following transformations preserves the lengths of the sides of the figure?

Mathematics

1 answer:

alex41 [277]4 years ago

4 0

Translation is your answer

Translation means that it just moves, and its size is unaltered

hope this helps

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A factory produces fuses, which are packaged in boxes of 22. Four fuses are selected at random from each box for inspection. The

mojhsa [17]

The probability of finding one of the two defective fuses is:
$\frac{2C1\times20C3}{22C4}=0.3117$
The probability of finding 2 defective fuses is: $\frac{2C2\times20C2}{22C4}=0.026$
Therefore the probability of rejecting is 0.3117 + 0.026 = 0.3377.

5 0

3 years ago

Write an equation for each translation of Y=|x|.

Digiron [165]

$\boxed{y=\mid x \mid +14}$

<h2>Explanation:</h2>

Let's graph the equation:

$y=\mid x \mid$

Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to $\mid x \mid$ . In doing so we get the new function:

$y=\mid x \mid + 14$

So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:

$Vertex \ of \ the \ red \ graph: \\ \\ V(0,0) \\ \\ \\ Vertex \ of \ the \ new \ graph: \\ \\ (0,0+14) \\ \\ (0,14)$

So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of $y=\mid x \mid$ 14 units up is $y=\mid x \mid +14$

<h2>Learn more:</h2>

Horizontal and vertical shift: brainly.com/question/13774447#

#LearnWithBrainly

6 0

3 years ago

X/-3.5+33=30<br> could i get some help

Bingel [31]

Answer:

10.5

Step-by-step explanation:

X/-3.5=30-33=-3

X= -3*3.5= 10.5

3 0

2 years ago

In what ways was the introduction of imaginary numbers similar to the introduction of negative numbers and the introduction of i

raketka [301]

The introduction of imaginary numbers similar to the introduction of negative numbers through the determination of square root of a negative number.

<h3>Imaginary numbers </h3>

Complex numbers are square root of a negative number. Since a square root of a negative number cannot be determined, it is always represented with "i"

Given the rational number √-4 for instance, this will result in complex number or imaginary number since it is a negative number.

Learn more on imaginary number here: brainly.com/question/10662770

7 0

2 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Alona [7]

Answer:

$3.9 in^2$

Step-by-step explanation:

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

p = 9 in

The perimeter is the sum of the three sides, so:

$p=L+L+L=3L$

Therefore, we find the length of the side:

$L=\frac{p}{3}=\frac{9}{3}=3 in$

Therefore the length is the base of the triangle,

$b=L$

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

$h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(3)(2.6)=3.9 in^2$

5 0

3 years ago