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3 years ago

The positive integer x is a multiple of 9 and also a

1 answer:

5 0

X is multiple of 9 as well as 12.

Thus, smallest value will be 36 ( 9 *4 = 36, 12 * 3 = 36)

3 and 12 are not the multiples of 9.

72 is a larger multiple than 36; thus, the correct answer is 36.

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Vinvika [58]

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Step-by-step explanation:

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3 years ago

den301095 [7]

Answer:

Step-by-step explanation:

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3 years ago

(y-x)(y+x) equals to<br>

Len [333]

It equals y^2+yx-yx-x^2

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3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is -6?

babymother [125]

Answer:

Line M - neither

Line N - parallel

Line P - perpendicular

Line Q - neither

Step-by-step explanation:

If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.

If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.

3 0

4 years ago

The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

never [62]

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

$Q=I^2Rt$

$\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega$

So, the new resistance is 4 ohms.

5 0

3 years ago