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3 years ago

8

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m. Find the dimensions of the re

ctangle.
Length: 0 -
Х
5
?
Width: -

1 answer:

Rus_ich [418]3 years ago

4 0

Answer:

I just want points so delete this if yiu wantdelete

Step-by-step explanation:

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5 in<br> 9 in<br> 10 in<br> Surface Area =

yKpoI14uk [10]

5*9*10= Surface Area

5 0

3 years ago

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 $x^3+6x+11x+6=0.$

6 0

3 years ago

The lengths of the sides of a triangle are in the extended ratio 8 : 9 : 10. The perimeter of the triangle is 108cm. What are th

belka [17]

Answer:

32, 36, 40

Step-by-step explanation:

8x + 9x + 10x = 108

27x = 108

x = 4

4 × 8 = 32 - 1st side

4 × 9 = 36 - 2nd side

4 × 10 = 40 - 3rd side

3 0

3 years ago

What place value is this in 8.7438 the under lined number is 7

MA_775_DIABLO [31]

Answer:

tenths place

Step-by-step explanation:

8 0

3 years ago

Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.

Fynjy0 [20]

Answer:

c

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

6 0

3 years ago