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3 years ago

I’m totally confused

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

the first one is a.

the second one is d.

the third one is b.

and the fourth one is c.

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

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3 years ago

What point is plotted on the graph? (9, 8) (9, 9) (8, 8) (8, 9)

zhannawk [14.2K]

Answer:

It'd help to show the graph but, count out how far it goes right, than count up how far it goes up, the first number is x, the second number is y

Step-by-step explanation:

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2 years ago

Ming rolls a number cube, tosses a coin, and chooses a card from two cards marked a and b. if an even number and heads appears,

Zarrin [17]

B I think I am petty sure

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2 years ago

Which expression is a sum of cubes?

luda_lava [24]

$-27x^9+y^6 = (-3)^3\times \Big(x^3\Big)^3 + \Big(y^2\Big)^3=\boxed{\Big(-3x^3\Big)^3+\Big(y^2\Big)^3}$

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2 years ago

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7y = 14 -28x to standard form

MissTica

Answer:

28x + 7y = 14.

Step-by-step explanation:

Just add the 28x to each side.

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2 years ago

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