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Finger [1]
3 years ago
9

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Enter your answer in the box
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Use the point-slope formula by the line

y - y_1 = m(x - x_1)      when  x_1 =8   and  y_1 = -2    m :  is the slope (same slope for the line whose equation is 3x + 4y = 15 because are  parallel)

calculate : m

3x + 4y = 15

4y = -3x +15

y = (-3/4)x +15/4     so   m = -3/4

an equation is : y +2 =(-3/4)(x-8)

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Which expression is equivalent to 144 Superscript three-halves? 216 1,728 RootIndex 3 StartRoot 12 EndRoot RootIndex 3 StartRoot
Afina-wow [57]

Question:

Which expression is equivalent to 144^(3/2)

Answer:

1728

Step-by-step explanation:

The options are not well presented. However, this is the solution to the question.

Given:

144^(3/2)

Required:

Find Equivalent.

We start my making use of the following law of logarithm.

A^(m/n) = (A^m)^1/n

So,

144^(3/2) = (144³)^½

Another law of indices is that

A^½ = √A

So,

144^(3/2) = (144³)^½ = √(144³)

144³ can be expanded as 144 * 144 * 144.

This gives

144^(3/2) = √(144 * 144 * 144)

The square root can then be splitted to

144^(3/2) = √144 * √144 * √144

144^(3/2) = 12 * 12 * 12

144^(3/2) = 1728.

Hence, the equivalent of 144^(3/2) is 1728

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3 years ago
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Step-by-step explanation:

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