Disn

Mathematics

1 answer:

Mila [183]3 years ago

5 0

Answer:

3 (5+x)

Step-by-step explanation:

( 15+3x)

this is the answer

You might be interested in

Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.

Stella [2.4K]

Answer:

3. $x^2-10x+25=0$

Step-by-step explanation:

All the polynomials in the given option are quadratic.

By the fundamental theorem of algebra, the quadratic polynomial has two roots.

Since the solution set is given as {5}, the quadratic has a repeated root.

In other words the root has a multiplicity of 2.

Hence we have the equation:

$x=5$ , multiplicity 2

This implies that;

$(x-5)^2=0$

We expand to obtain;

$x^2-5x-5x+25=0$

$x^2-10x+25=0$

The correct choice is the third option.

3 0

3 years ago

Find the curvature of the parabola y=x^2 at A(1,1)

xxMikexx [17]

Answer:

Step-by-step explanation:

The curvature of the curve y=f(x) is

$y=f(x)=x^2\\\\y'=f'(x)=2x\\\\y''=f''(x)=2\\\\K(x)=courbure(in\ French)=\Bigg|\dfrac{y''(x)}{(1+y'(x)^2)^{\dfrac{3}{2} } }\Bigg|\\\\At\ A=(1,1),\\K(1)=\Bigg|\dfrac{2}{(1+2^2)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{(5)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{5*\sqrt{5} }\Bigg|\\\\=\Bigg|\dfrac{2*\sqrt{5}}{25 }\Bigg|\\\\\\\boxed{=\dfrac{2*\sqrt{5}}{25 }}\\\\$