bryan says all prime numbers are odd numbers list all the prime numbers less than 20 in a numerical order

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

This is a list of all the prime numbers less than 20 in numerical order

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Parallelogram ABCD is dilated to form parallelogram WXYZ. What corresponding side is proportional to segment AD?

Sati [7]

If we draw a parallelogram so that the top left point is A, the top right is B the bottom right is c and the bottom left is D and do WXYZ in the same order with the larger parallelogram with the same shape, then WZ would be proportional to AD.

3 0

2 years ago

Find the root of (M^3)+(M^2)-2=0. Show steps.

MrRissso [65]

Answer:

x = 1, -1 + i, and -1 - i are the 3 roots

Step-by-step explanation:

The Rational Root Theorem will help us find any real roots in this 3rd degree polynomial. The c value in that polynomia is -2 and the d value is 1 (the leading coefficient).

If c is -2, then the factors of -2 are:

1, -1, 2, -2

If d is 1, then the factors of 1 are:

1, -1

And c/d gives us all the possible roots:

1/1, -1/1, 2/1, -2/1 which of course simplify to

1, -1 2, -2

We will now use synthetic division to find the first real root. I will use x = 1 first.

For synthetic division:

1| 1 1 0 -2

is how it is set up. Bring down the first number, 1, multiply it by 1 and put that product up under the second "1":

1| 1 1 0 -2

Now add to get

1| 1 1 0 -2

1 2

Multiply 2 by 1 and put that product up under the 0 and add:

1| 1 1 0 -2

1 2

1 2 2

Again multiply the 2 by 1 and put that product up undeer the -2 and add:

1| 1 1 0 -2

1 2 2

1 2 2 0

That remainder of 0 tells us that x = 1 is a root of that polynomial and the depressed polynomial, made up from the bold numbers, is one degree less than what it started with:

$x^2+2x+2=0$