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2 years ago

In your opinion, how do you think we will be able to use the change of base rule?

Mathematics

1 answer:

Zarrin [17]2 years ago

4 0

Answer: Its asking for an opinion answer in your own words

Step-by-step explanation:

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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

4 0

2 years ago

A man bought a refrigerator, an air conditioner, a TV set and a gas cooker for $150.00, $400.00, $180.00 and $300.00 respectivel

MaRussiya [10]

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

4 0

2 years ago

One factor of 32 is

Elodia [21]

Ik you asked for one but here's a couple: 1,2,4,8,16,32

4 0

3 years ago

Read 2 more answers

The length of a rectangle is 5 inches shorter than 3 times the width. Which expression represents the length of the rectangle in

Karo-lina-s [1.5K]

Answer:

The answer is 3w-5

Step-by-step explanation:

First you would have to figure out what 3 times the width is which would be the 3w part then to fine the length you would subtract 5 since it is 5 inches shorter

6 0

2 years ago

Read 2 more answers

Maka made $45,670 last year.

Luba_88 [7]

You need the percentages to answer the question

7 0

2 years ago