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3 years ago

Is -100 a rational number

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

Yes, it is rational because it is a whole number and all whole numbers are rational.

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Solve the equation 12x + 6y = 24 for x.

Ulleksa [173]

Answer:

The answer is x=2-(y/2)

Step-by-step explanation:

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3 years ago

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If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)

liubo4ka [24]

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

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3 years ago

Find the exact value. <br>cos225°

Sedaia [141]

Exact form: -square root 2/2 (I don't have a square root symbol)
Decimal form: -0.70710678

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3 years ago

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Janice is standing 15m form the base of a building. From the point where she is standing, the angle of elevation of the top of t

Alenkasestr [34]

Answer:

the building is 28m

Step-by-step explanation:

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3 years ago

If the lesser of the two consecutive even integers is five more than half the greater, what are the two integers?

Marina CMI [18]

The integers are 12, 14.

Solution:

Let the even consecutive integers be x and x + 2.

Lesser number = x and Greater number = x + 2

Lesser number = Half of greater number + 5

$$\Rightarrow x = \frac{1}{2} (x + 2) + 5$

$$\Rightarrow x = \frac{x + 2}{2} + 5$

To add the numbers, denominators must be same. So multiply 5 by $\frac{2}{2}$ .

$$\Rightarrow x = \frac{x + 2}{2} + \frac{10}{2}$

$$\Rightarrow x = \frac{x + 12}{2}$

Multiply by 2 on both sides, we get

⇒ 2x = x + 12

Subtract x from both sides.

⇒ x = 12

Lesser number = 12

Greater number = 12 + 2 = 14

Hence the integers are 12, 14.

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3 years ago