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3 years ago

Given line y-1/6x+9,find a perpendicular line to the given line passes through points (6,-3)?

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

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

Step-by-step explanation:

The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.

Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6. That is +6.

Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:

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

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A group of campers is going to occupy 6 campsites at a campground. There are 16 campsites from which to choose. In how many ways

Pachacha [2.7K]

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

240 x 182 x 132 = X

240 x 24,024 = X

5,765,760 = X

Therefore, the campsites can be chosen in 5,765,760 different ways.

8 0

3 years ago

How to answer everything on this page?

Fiesta28 [93]

First you type the answer to the question you were asked and then hit 'add your answer'

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3 years ago

(-19+7i)-(29+32i)=<br><br> in the form (a+bi)

olga_2 [115]

ANSWER

$-48-25i$

EXPLANATION

We want to simplify the expression,

$(-19+7i) - (29+32i)$

Let us expand the bracket to obtain,

$-19+7i-29-32i$

We now group the complex number parts and real number parts.

$-19 -29+7i-32i$

We simplify further to obtain,

$- 48-25i$

This is in the form,

$a+bi$

where

$a=-48$

and

$b=-25$

5 0

3 years ago

At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am

Natalija [7]

32* I belive if it had risen 8 degrees then 40 minus 8 is 32

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3 years ago

The air temperature dropped from 94°F to 72° Fahrenheit in 15 minutes what is the change in temperature

Inessa05 [86]

22° you just subtract the numbers.

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3 years ago