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user100 [1]
2 years ago
8

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

           1

     1

Now add to get

1|     1     1     0     -2

            1

      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

This does not factor without imaginary roots, so putting it into the quadratic formula looks like this:

x=\frac{-2+/-\sqrt{4-4(1)(2)} }{2}

which simplifies to

x=\frac{-2+/-\sqrt{-4} }{2}

The square root of -4 simplifies to 2i, so

x=\frac{-2+/-2i}{2}

which reduces to

x = -1 + i and

x = -1 - i

   

5 0
3 years ago
(b) The man is going to exit the stairwell at the 4th floor, which is at a height of 42 feet above
atroni [7]

The time taken to get to the 4th can be obtained by dividing the distance given by the speed of the lift.

Distance, height from ground to 4th floor = 42 feets

Time taken to get to the 4th floor = t

Recall :

Time = Distance / speed

  • We aren't given the speed of the lift ;

  • Assume speed of lift is 7 ft/sec

The time taken to get to the 4th floor will be :

  • t  =  \frac{42}{7}  = 6 \: seconds

Therefore, to obtain the time taken, divide the distance or height of the 4th floor by the speed of the lift.

Learn more : brainly.com/question/13218948

7 0
2 years ago
Help me please
Goshia [24]
Midpoint is (-2 , -0.5)
6 0
3 years ago
What is the simplify rational expression for 10b + 100
igor_vitrenko [27]

Answer:

10 (b+10)

Step-by-step explanation:

10b + 100

Factor out a 10

10 *b + 10*10

10 (b+10)

7 0
3 years ago
Read 2 more answers
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