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3 years ago

Find the fifth term in the geometric

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

162

Step-by-step explanation:

Since the ratio is 3, the terms are 3 times the term before.

So the answer is 2*3^4 = 162

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What is an unbrocken part of a circle called

iogann1982 [59]

Answer:

an unbroken part of a circle consisting of two points on the circle called the endpoints and all the points of the circle between them. arc. an arc of a circle whose points are on or in the interior of a central angle.

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4 years ago

The following polynomial can be factored using the techniques of this lesson x^2-18

Papessa [141]

Answer:

$(x+3\sqrt{2})(x-3\sqrt{2})$

Step-by-step explanation:

The given expression is $x^2-18$ .

The technique that can be used to factor this polynomial is the difference of two squares.

We rewrite the two expressions as;

$x^2-(\sqrt{18})^2$

Recall that;

$a^2-b^2=(a+b)(a-b)$

$x^2-(\sqrt{18})^2=(x+\sqrt{18})(x-\sqrt{18})$

$x^2-(\sqrt{18})^2=(x+3\sqrt{2})(x-3\sqrt{2})$

8 0

3 years ago

Read 2 more answers

Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

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3 years ago

What is the simplest form of 3/24

Finger [1]

The simplest form is 1/8
3/3= 1 24/3 = 8 so 1/8

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4 years ago

Robert will put. a border around the edges of the platform. how much border will he need

STatiana [176]

What are the demetions of the platform?

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3 years ago