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3 years ago

7

The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or f

alse.

1 answer:

zhenek [66]3 years ago

6 0

Answer: true

Step-by-step explanation:

just took it

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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

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Gabrielle's age is three times Mikhail's age. The sum of their ages is 56, what is Mikhail’s age?

4vir4ik [10]

Gabrielle's age is 3x (in which x is mikhail's age)
the sum is 56 so 3x+x=56

3x+x=56
4x=56
x=14

since x was mikhail's age, mikhail is 14 years old

6 0

3 years ago

an iron cube measures 10cm by 10cm by10cm. what is its volume? if the same iron cube weights 7.9 kg, what is its density in g/cm

7nadin3 [17]

Is there an image you can attach?

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3 years ago

Which graph represents the solution of the system?<br>x² + y² = 4 <br>x-y=1<br>

QveST [7]

Answer:

the bottom left one

Step-by-step explanation:

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3 years ago

I need to know how to dos these problems? Can you explain how to do them?

drek231 [11]

The answer for 4 is 8(3+5)

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3 years ago

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