2 years ago

MATH, GEOMETRY!! HELP!!

Mathematics

1 answer:

Reil [10]2 years ago

8 0

Answer:A

Step-by-step explanation:

For SSS you need all sides

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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.

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3 years ago

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vodka [1.7K]

Step-by-step explanation:

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Round 1395 to the nearest hundred

algol [13]

Answer:

1400

Step-by-step explanation:

It is closer to 1400 than 1300

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What is 3and 2 fiths subtract 5 eighths

Lorico [155]

Answer:

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Step-by-step explanation:

3 2/5=17/5

17/5-5/8=111/40

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To solve x + 9 = 12,______9 from both sides of the equation.

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Answer:

Subtract 9 from both sides of the equation.

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