What is the area of the figure below?

Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choi

Eduardwww [97]

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>

Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Find out more on transformation at: brainly.com/question/4289712

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7 0

1 year ago

The sum of two numbers is 4 and their difference is -10. What are the numbers

Anit [1.1K]

Answer:

-3 and 7

Step-by-step explanation:

4 -(-10) = 14

14÷2=7(largest no.)

7-10=-3(smallest no.)

7 0

3 years ago

Is x = 6 a solution to the equation 5(x – 3) = x + 13?

deff fn [24]

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

8 0

3 years ago

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many

Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

$= \tt100 - 40 + 24$

$= \tt 100 - 64$

$= \tt 36 \%$ Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

$= \tt36 \% \: of \: x = 72$

$= \tt \frac{36}{100} \times x = 72$

$= \tt \frac{36 \times x}{100} = 72$

$= \tt \frac{36x}{100} = 72$

$= \tt 36x = 72 \times 100$

$= \tt36x = 7200$

$= \tt x = \frac{7200}{36}$

$\color{plum} = \tt \: x = 200$

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

$= \tt40 \% \: \: of \: \: 200$

$= \tt \frac{40}{100} \times 200$

$= \tt \frac{40 \times 200}{100}$

$= \tt \frac{8000}{100}$

$\color{plum} \tt = 80 \: yellow \: \: leaves$

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

$= \tt24 \% \: \: of \: \: 200$

$= \tt \frac{24}{100} \times 200$

$= \tt \frac{24 \times 200}{100}$

$= \tt \frac{4800}{100}$

$\color{plum} = \tt 48 \: green \: \: leaves$

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

3 0

3 years ago

43. Simplify (k – 5) - (k2 + 8).

lesantik [10]

Answer:

(D) -k2 + k - 13

Step-by-step explanation:

Pulling out like terms :

2.1 Pull out like factors :

-k2 + k - 13 = -1 • (k2 - k + 13)

Trying to factor by splitting the middle term

2.2 Factoring k2 - k + 13

The first term is, k2 its coefficient is 1 .

The middle term is, -k its coefficient is -1 .

The last term, "the constant", is +13

Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13

Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is -1 .

-13 + -1 = -14

-1 + -13 = -14

1 + 13 = 14

13 + 1 = 14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-k2 + k - 13

Processing ends successfully

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3 0

3 years ago

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