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3 years ago

Write the equation of the line perpendicular to 2x-3y=6 through the point (-2,4)

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

y = -3/2x + 1

Step-by-step explanation:

Perpendicular lines' slope will have the negative reciprocal of the other one's slope.

First, put 2x-3y = 6 into slope - intercept form, so it would be:

$-3y = -2x+6\\y = \frac{2}{3}x - 2$

This means that the slope of that line is 2/3, so the slope of the perpendicular line would have to be -3/2.

Then, you can put this into point-slope form, so it would look like:

y - 4 = -3/2 (x + 2)

$y = -\frac{3}{2} x - 3 + 4 \\y = -\frac{3}{2}x + 1$

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10 ways to divide 96 into equal groups

Andrew [12]

These are the ten ways to divide 96 into equal groups:

96 divided by 2 = 2 groups of 48

96 divided by 48 = 48 groups of 2

96 divided by 12 = 12 groups of 8

96 divided by 8 = 8 groups of 12

96 divided by 32 = 32 groups of 3

96 divided by 3 = 3 groups of 32

96 divided by 24 = 24 groups of 4

96 divided by 4 = 4 groups of 24

96 divided by 6 = 6 groups of 16

96 divided by 16 = 16 groups of 6

4 0

3 years ago

I would like to have an answer for this thanks!

Scilla [17]

The final amount of the compound interest after 6 years would be $ 294, 122, 500

<h3>How to determine the final amount</h3>

The formula for the final amount is given as;

$A = P( 1 + \frac{r}{n}) ^n^t$

Where

A = final amount

P = principal interest

r = interest rate

n = number of times

t = time of periods

We have,

A = $2500$ $( 1 + \frac{6}{1}) ^1^*^6$

A = $2500 ( 7)^6$

A = $2500$ × $117, 649$

A =$ $294, 122, 500$

Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500

Learn more about compound interest here:

brainly.com/question/24924853

#SPJ1

6 0

2 years ago

Please answer! will give brainliest

hjlf

Answer:

1.4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

you download a video game on your computer. you have a 60-minute free trial of the game. it takes 5 1/6 minutes to set up the ga

iren2701 [21]

Answer:

B. $5\frac{1}{6}+(7\frac{1}{3})l \leq 60$

Step-by-step explanation:

Given,

The time for set up the game = $5\frac{1}{6}$ minutes,

Also, the time for each level of game is $7\frac{1}{3}$ minutes,

If there are l levels of games,

Then the time taken in all levels of game = $(7\frac{1}{3})l$

Hence, the total time ( in minutes ) = Set up time + time in all level

= $5\frac{1}{6}+(7\frac{1}{3})l$

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

$\implies 5\frac{1}{6}+(7\frac{1}{3})l \leq 60$

Which is the required inequality.

Option 'B' is correct.

5 0

4 years ago

Read 2 more answers

A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is

storchak [24]

Answer:

8 quarts

Step-by-step explanation:

Step One: Figure out how much 40% is by making an equation:

Since we are looking for a percentage, we use cross multiplication to find X.

$\frac{x}{20} = \frac{40}{100}$

Step Two: multiply 20 by 40 to start cross multiplying:

20 times 40 is 800, so replace the 40 by 800 in the equation.

$\frac{x}{20} = \frac{800}{100}$

Step Three: divide 800 by 100, and we will have X:

800/100=8

X=8 aka 8 quarts

I hope this helps!

pls give thx and brainliest :D

7 0

3 years ago