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Sergeu [11.5K]
3 years ago
7

Please answer it would mean so much to me :)

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

y = \frac{1}{3} x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y = 4 ( subtract 3x from both sides )

y = - 3x + 4 ← in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}

Given c = 2 , then

y = \frac{1}{3} x  + 2 ← equation of perpendicular line

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First move the constant to the other side causing it to change sides

4x<-6-6

Then calculate the difference (-6-6)

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Then you are left with your answer:

x<-3

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What is the result when the number 24 is increased by 6%?
Delicious77 [7]

Answer:

24 increased by 6% = 25.44

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

6% = 6/100 = 6 ÷ 100 = 0.06.

100% = 100/100 = 100 ÷ 100 = 1.

ncrease the number by 6% of its value.

Percentage increase = 6% × 24

New value = 24 + Percentage increase

Calculate the New Value

New value =

24 + Percentage increase =

24 + (6% × 24) =

24 + 6% × 24 =

(1 + 6%) × 24 =

(100% + 6%) × 24 =

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106 × 24 ÷ 100 =

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25.44

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 24 =

25.44 - 24 =

1.44

Proof.

Calculate percentage increase...

... And see if we get as a result

the absolute change (actual difference).

Percentage increase =

6% × 24 =

6 ÷ 100 × 24 =

6 × 24 ÷ 100 =

144 ÷ 100 =

1.44

So we have proven that the calculations are correct.

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

24 increased by 6% = 25.44

Absolute change (actual difference):

25.44 - 24 = 1.44

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