Please help me and thank you!

Mathematics

2 answers:

Naddik [55]3 years ago

5 0

54 feet would be exact i think dont take my word for it.

densk [106]3 years ago

4 0

Givens

Area: x^2 - 80x - 1500

Width: x - 30

Length: ??

Solution

x^2 - 80x - 1500 will factor

Area = (x - 30) (x - 50)

Length = Area / width

Length = ( (x - 30)(x - 50) ] / (x - 30)

Length = x - 50

Comment

You could say that the width = 30

And the length = 50

But I don't think that is what you are asked for.

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Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$