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3 years ago

Three times the sum of a number and four is twenty-one. Find the number. The number is ___

Mathematics

2 answers:

Nady [450]3 years ago

6 0

Answer:

The answer to your question is: x = 3

Step-by-step explanation:

3(x + 4) = 21

x + 4 = 21/3

x + 4 = 7

x = 7 - 4

x = 3

cupoosta [38]3 years ago

5 0

Answer:

n = 9/3 = 3

Step-by-step explanation:

Translating these words into symbolic statements:

3(n + 4) = 21.

Perform the indicated multiplication, obtaining:

3n + 12 = 21

Combine the constant terms: 3n = 9

Finally, solve this for n: n = 9/3 = 3

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Anastaziya [24]

|2x - 5| - 2 = 3 |add 2 to both sides

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2x = 10 or 2x = 0 |divide both sides by 2

x = 5 or x = 0

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3 years ago

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3 years ago

Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )

irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

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3 years ago