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3 years ago

P(x)=x^4 -2x^3 -11x +12x+36

Mathematics

1 answer:

Shtirlitz [24]3 years ago

7 0

x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)

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The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

Dibuja una función f que cumpla las condiciones dadas en cada caso

Tatiana [17]

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4 years ago

Help pleaseeee. This is 8th grade math and i need to find what x is

Degger [83]

$\text{Hello there!}\\\\\text{We know the that the exterior angle (x) is the sum of the opposite interior}\\ \text{angles}\\\\\text{This means that you would add 72 and 37}\\\\72+37=109\\\\\text{Or, you can do this method:}\\\\\text{Find the missing interior angle by adding 72 and 37 and subtracting}\\\text{it by 180}\\\\180-72-37=71\\\\\text{Now, find the exterior angle by subtracting 180 by 71}\\\\180-71=109\\\\\boxed{x = 109\,\,\text{degrees}}$