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3 years ago

What is 6X squared +17 X +13+4 over X -1 multiplied by X minus one

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

8 0

Answer:

$6x^{3} + 11^{2} - 4x -9$

Step-by-step explanation:

i) $(6x^{2} + 17x + 13 + \frac{4}{x-1} ) \times (x - 1) = (6x^{2} + 17x + 13)\times (x - 1) + 4 = 6x^{3} + 11^{2} - 4x -9$

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Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

Answer:

$y=-\frac{1}{16} x^2$

Step-by-step explanation:

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

6 0

2 years ago

Please help please I really need help

Umnica [9.8K]

Yo sup??

The two triangles are similar by AAA property ie

Angle Angle Angle property

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By observing the figure

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mA=mD (parallel lines property)

mC=mF (parallel lines property)

Therefore by AAA the two triangles are similar .

The diagram is given below.

PS: All the credits for image goes to Picasso-PSN03

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motikmotik

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y = -2x + 2

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An object has a mass of 400 g and a volume of 25 cm3. Find the density of the object in g/cm3.

Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

mass / volume

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