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2 years ago

How do you determine if a pair of lines are parallel? For example, the lines -3x+8y=24 and 3x-8y=7?

1 answer:

7 0

first you put this equation into y=mx+b form then you look at the slope of the equation. if both of the slopes are same then its parallel.

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Answer:

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2 years ago

Find three ratios that are equivalent to 2 4. A. 8 16 B. 10 24 C. 4 8 D. 3 5 E. 6 12 F. 12 6

xenn [34]

Answer:

A, C, and E good luck

Step-by-step explanation:

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2 years ago

The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

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2 years ago

If the distance between opposite numbers on a number line is 10 units, what are the opposite numbers?

Margarita [4]

Answer:

5 and -5

Step-by-step explanation:

Opposite numbers are the same distance from 0 on the number line. So, each of the numbers is a distance from zero that is half the distance between them.

The numbers are 10/2 = 5, and -5.

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3 years ago

______________ conveys information about the relative scarcity of a good, such as whether a shortage or a surplus exists.

iris [78.8K]

I need this one too! Please help us!!

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3 years ago