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3 years ago

Solve for n: 7(n - 6) = a(n + 5)

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer:

n = $\frac{(5a + 42)}{( 7 - a ) }$

Step-by-step explanation:

7(n - 6) = a(n + 5)

7n - 42 = an + 5a

7n - an = 5a + 42

n( 7 - a ) = 5a + 42

n = $\frac{(5a + 42)}{( 7 - a ) }$

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Is the relationship shown by the data linear? If so, model the data with an equation.

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Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e $y-5=2(x+7)$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )

point B( x₂ , y₂) ≡ (-5, 9)

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

$(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e $y-5=2(x+7)$

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