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3 years ago

This figure has rotational symmetry. What is true about the figure?

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

Answer:

It looks the same if it rotated 120°

Step-by-step explanation:

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Greg drew a pair of parallel lines and a line segment next to each other on a chalkboard. Which of these statements best compare

Novosadov [1.4K]

The parallel lines extend infinitely in both directions, and the line segment has two endpoints.

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3 years ago

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Ali just bought 6 bags of 16 cookies each. He already had 7 cookies in a jar. How many cookies does Ali have now?

Alina [70]

Answer

Ali has 103 cookies

Step-by-step explanation:

6 x 16 = 96 96 + 7 = 103

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3 years ago

Let a = x2 + 4. Use a to find the solutions for the following equation:

Zepler [3.9K]

The solutions for x are -2, 0, 2

Solution:

Given that,

$\text { Let } a = x^2 + 4$

Given equation is:

$(x^2 + 4)^2 + 32 = 12x^2 + 48$

$(x^2 + 4)^2 + 32 = 12(x^2 + 4)$

$\text { Subtsitute } a = x^2 + 4 \text{ in above equation }$

$a^2 + 32 = 12a\\\\a^2 -12a + 32 = 0$

$\text{ Let us factorize the above equation }\\\\\text{ Splitting the middle term -12a as -4a - 8a we get, }$

$a^2 -4a - 8a + 32 = 0$

Taking "a" as common term from first two terms and taking "-8" as common from last two terms

$a(a-4)-8(a - 4) = 0$

$\text{Taking (a - 4) as common term, }\\\\(a - 4)(a - 8) = 0$

$\text{Equating to zero we get, }\\\\(a - 4) = 0 \text{ or } (a - 8) = 0\\\\a = 4 \text{ or } a = 8$

$\text{Now substitute the value of a = 8 and a = 4 in: }\\\\a = x^2 + 4$

$\text{ For a = 8: }\\\\a = x^2 + 4\\\\8 = x^2 + 4\\\\x^2 = 4\\\\x = \pm2\\\\x = +2 \text{ or } -2$

$\text{For a = 4: }\\\\a = x^2 + 4\\\\4 = x^2 + 4\\\\x = 0$

$\text{Thus solutions of } x \text{ are: }\\\\x = 0 \text{ or } x = 2 \text{ or } x = -2$

8 0

3 years ago

Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is larges

Karolina [17]

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12 Product Difference Product- Difference

11 +1 11 10 1

10 +2 20 8 12

9 +3 27 6 21

8 +4 32 4 28

7 +5 35 2 33

6+6 36 0 36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

4 0

3 years ago

Which property is used in the statement? If z=3+1, then 3+1=z

saul85 [17]

This is the symmetric property of equality, and in a more general form it can be written as: if a=b then b=a.

This is not to be confused with communicative property, which says that the order doesn't matter in some operations, such as addition, and can be written as a+b=b+a

6 0

3 years ago