Are the following lines are parallel ,perpendicular or neither

Molly has 24 muffins, 18 breakfast bars, and 12 bottles of juice to be distributed evenly among a certain number of welcome bask

Zepler [3.9K]

Answer:

b and c

Step-by-step explanation:

4 0

3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

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Combine Like Terms and Eliminate Parenthesis. 5z-[2z-(13z+8)]

katen-ka-za [31]

We need to start from the innermost parenthesis and work our way out.

The first parenthesis is $13z+8$ . These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).

So, we can take one step outwards, and we arrive to the square brackets. We have

$2z-13z-8$

and 2z and -13z are like terms, so we can sum them:

$2z-(13z +8) = 2z-13z-8 = (2-13)z-8 = -11z-8$

Finally we arrive to the whole expression, which is

$5z-(-11z-8) = 5z+11z+8 = (5+11)z+8=16z+8$

Because, again, 5z and 11z were like terms.

6 0

3 years ago

The following information is known about a loan.

Katyanochek1 [597]

Use the formula I = PRT.....you'll get $2000

6 0

3 years ago

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To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of in

erastova [34]

Answer: $x= 187.5p$

Step-by-step explanation:

Given : An equation relating packets to bytes of information : $b = 1,500p$ where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

$8x=1500p$

Divide both sides by 8 , we get

$x= 187.5p$

Hence, the equation represent the relationship between the number of packets and the number of bits : $x= 187.5p$

3 0

3 years ago

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