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3 years ago

Factor using the GCF 5x -15???

Mathematics

2 answers:

VikaD [51]3 years ago

8 0

Answer:

the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)

zimovet [89]3 years ago

3 0

The greatest common factor will me 5 as 5 can go into both 5x and -15

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

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3 years ago

A circle has an area of 9. What is the circumference?

Len [333]

The circumference of the circle is 10.36

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Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

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2 years ago

Need answer for this please.

balu736 [363]

Answer:

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Step-by-step explanation:

I graphed this out. Remember that in parallel lines, the slopes are always the same.

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A theater has 500 seats. Three fourths of the seats are filled how many seats are filled

Pie

A theater has 500 seats. Three fourths of the seats are filled how many seats are filled

375 seats are filled

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