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3 years ago

50 points!

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

Consider expression D

$\frac{6}{x+5}$

This will be undefined when

x + 5 = 0 ⇒ x = - 5 ← excluded value → D

bulgar [2K]3 years ago

5 0

Answer:

D) 6/x+5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

In this example, we will use D

x + 5 = 0 ⇒ x = - 5 ( Excluded value )

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

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3 years ago

Can someone help me with this?

uysha [10]

Step-by-step explanation:

Volume of a cylinder : πr^2*height.

Volume : 150cm^3

height : 7.2m

π =3.14

150 = 3.14*r*r*7.2

150=22.608*r*r

r^2= 150/22.608

=150/23cm^2

r=√6.5

r=2.569cm

r=2.6cm

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Vitek1552 [10]

Answer:

0.1

Step-by-step explanation:

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Murljashka [212]

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3 years ago

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nexus9112 [7]

Answer:

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

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3 years ago