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2 years ago

Brainliest if correct

Mathematics

1 answer:

anyanavicka [17]2 years ago

5 0

Answer:

Step-by-step explanation:

-4c + 9 + 4c

4c - 4c + 9

= 9

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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

Read 2 more answers

You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 .

brilliants [131]

Answer:

C = 40 + 0.17M

Step-by-step explanation:

Total monthly charge = Fixed base fee + charge per minute*total number of minutes

C = 40 + 0.17*M

C = 40 + 0.17M

8 0

3 years ago

The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is dir

Sedaia [141]

Answer:

true

Step-by-step explanation:

did the test

5 0

3 years ago

ERNENT !!!!!

Snowcat [4.5K]

B.(263-169)=1(-156+240) is the correct answer

3 0

3 years ago

Described an event that has a probability of 0 and a probability of 100

Igoryamba

The event with the probability of 0 will definitely not happen.

The event with the probability of 100% will definitely happen.

As human beings we need some safe assumptions. Without those we could not get out of bed in the morning.

We assume that the probability of the Moon falling into the Pacific Ocean tomorrow is 0. We assume that the probability of the Sun rising tomorrow is 100%. We have no way to know either one but we assume both.

3 0

3 years ago