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3 years ago

How do you simplify 3 times the square root 13?

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Answer:

3√13

Step-by-step explanation:

3√13

This expression cannot be simplified because you cannot take any common factor outside the root.

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When factoring, what is the first thing you need to do?

Anna007 [38]

Answer:

1st step would be to check to see if you can factor anything out:

Greatest Common Factor. This means the greatest number that you can divide EVERY term by.

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3 years ago

Solve for the variable. b^2 = 100

Arlecino [84]

Answer:

b=10

Step-by-step explanation:

b^2=100

b is equal to 10 because 10 times 10 is 100

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Answer:

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3 years ago

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Find the surface area of each figure. round to the hundredths place

Amiraneli [1.4K]

Given:

In the given cone,

Radius of the cone = 7.2 m

Slant height of the cone = 17 m

To find:

The surface area of the cone.

Solution:

The surface area of a cone is:

$A=\pi rl+\pi r^2$

Where, r is the radius of the cone and l is the slant height of the cone.

Putting $\pi=3.14,\ r=7.2,\ l=17$ in the above formula, we get

$A=(3.14)(7.2)(17)+(3.14)(7.2)^2$

$A=384.336+162.7776$

$A=547.1136$

$A\approx 547.11$

Therefore, the surface area of the given cone is 547.11 square m.

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3 years ago

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 bx c, is shown.step 1: –c = ax2 bxwhich b

Ksju [112]

Answer:

option (b) is correct.

First step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Step-by-step explanation:

Given : the quadratic equation $ax^2+bx+c=0$

We have to find the first step for deriving the quadratic formula from the quadratic equation.

Quadratic formula is given by $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Consider the given quadratic equation $ax^2+bx+c=0$

Divide the equation by a, we get,

$x^2+\frac{b}{a}x+\frac{c}{a}=0$

Take $\frac{c}{a}$ to other side, we get,

$x^2+\frac{b}{a}x=-\frac{c}{a}$

Add $(\frac{b}{2a})^2$ to both side, we get,

$x^2+\frac{b}{a}x+(\frac{b}{2a})^2=(\frac{b}{2a})^2-\frac{c}{a}$

Thus, the left side is in the form of $(a+b)^2=a^2+b^2+2ab$

On solving, we get,

$(x+\frac{b}{2a})^2=(\frac{b}{2a})^2-\frac{c}{a}$

Then solve for x , we get quadratic formula $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Thus, first step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Thus, option (b) is correct.

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3 years ago

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