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3 years ago

Which choices are equivalent to the expression below? Check all that apply square root -36

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

-6 or -3 if that is a choice.hope it hepls

ozzi3 years ago

6 0

Only 6 because 6 * 6 is the only numbers that will equal 36

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Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

-2a+7-3(-9-4a) how do I solve this?

Klio2033 [76]

Answer:

34+4a

Step-by-step explanation:

-2a+7-3(-9-4a)

➡ -2a+7+27+12a

➡34+10a

6 0

3 years ago

What value of b will cause the system to have an infinite

m_a_m_a [10]

Answer:

$b=6$

Step-by-step explanation:

The correct question is

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + 1/2y = –3

we have

$y=6x-b$ ----->equation A

$-3x+\frac{1}{2}y=-3$ -----> equation B

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

isolate variable y in the equation B

$-3x+\frac{1}{2}y=-3$

Multiply by $2$ both sides

$-6x+y=-6$

$y=6x-6$ -------> new equation B

To find out the value of b, equate equation A and equation B

$6x-b=6x-6$

$b=6$

4 0

2 years ago

1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1

poizon [28]

Vertical angles are equal to each other:
    ∠2    =    ∠3
   5 + 4y = 6y - 25
→ 30 = 2y
→    15 = y

∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65

linear pairs equal 180:
   ∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115

5 0

3 years ago

Solve for x. . Simplify your answer as much as possible.

Nady [450]

2x = 15 - 3x -- add 3x to both sides

5x = 15 -- divide both sides by 5

x = 3 -- simplest form

4 0

3 years ago

Read 2 more answers