Why is it difficult/ impossible to find even prime numbers?

Answers

Answer 1

Answer: It is difficult because prime numbers are numbers with no factors. There's not many. A lot of one digit numbers are prime and odd numbers but after 2, all of the even whole numbers are composite and some odds past 100 (and some before 100) are, also

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C=40.82 ft what is the radius an d diameter

Answers

The radius would be 40.82 divided 2 and that is 20.41 and the diameter would be 40.82 times 2 and that is 81.54

How do you multiply,fractions and make sure my answer is correct

Answers

You multiply the numerator or top of the fraction by the other numerator and then you multiply the denominator or the bottom of a fraction by the other denominator.

The algebraic formula for multiplying fractions is a/b * c/d = ac / bd. For example: 2/6 * 1/4 = 2*1 / 6*4 = 2 / 24.Reducing this fraction we get 1/12.

Which strategy would you use to find 2+8 explain how you decided

Answers

In this problem we need to make the following addition:

2 + 8

According to this I would use the following strategy:

1. Break apart strategy:

This strategy consists in the decomposition or separation of numbers. In this way, we may break number 2 and 8 down to place value and add each, starting with the 8 or keep one number intact and only break second number down by place value and adding each place. Anyway, using this strategy we have:

2 + 8 = ?

Thus, 2 breaks into 1 plus 1 (1 + 1), 8 breaks into 4 plus 4 (4 + 4), so by associative property:

$(1+4)+(1+4) = 5+5=\boxed{10}$

2. Explain how I decided.

The strategy of breaking apart numbers is an easy way to find additions. This strategy is amazing to add larger numbers. Therefore, we may break larger numbers up into hundreds, tens, ones, then add them.

You would use the addition strategy.

This is because there is a plus sign, which signifies addition. So, 2 + 8 = 10. If there had been a minus sign (-), you would be subtracting. Additionally, if there was a multiplication (x) or division (/) sign, you would multiply or divide, respectively.

Mapping Diagram to inverse, do not understand, please help! Thank you!!!!

Answers

I think diagram of number D show the inverse of R[X]

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Answers

$(x-7)^(2) + (y+6)^(2) = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_(1) ,y_(1)) and (x_(2) ,y_(2))$ is given by

$\sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2) }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^(2)+ (-6-(-9))^(2) }$

= $\sqrt{(1)^(2)+ (3)^(2) } = √(10 )$

Hence the radius r is $√(10)$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $√(10)$ is given by

$(x-a)^(2) + (y-b)^(2) = r^(2)$

=> $(x-7)^(2) + (y-(-6))^(2) = (√(10) )^(2)$

=> $(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Look Down Below For question:

Answers

the cattle train
speed - 36.5 km/h
time - x h

the passenger train
speed - 29.2 km/h
time - (2.4+x) h

The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.

$36.5 * x=29.2 * (2.4+x) \n36.5x=70.08+29.2x \n36.5x-29.2x=70.08 \n7.3x=70.08 \nx=(70.08)/(7.3) \nx=9.6 \n \n 2.4+x=2.4+9.6=12$

The passenger train travelled for 12 hours before the cattle train caught up.

Used brute force to figure this one out and got lucky at t=12.

What you need to know:

$d=\left| x-y \right|$

t = time travelled (in hours)

x = distance passenger train has travelled

y = distance cattle train has travelled

d = distance between both trains in km

------------------------------------

RESULTS AND TIME SNAPSHOTS:

When:

t=0, x=0, y=0, d=0

t=2.4, x=70.08, y=0, d=70.08

t=4.8, x=140.16, y=87.6, d=52.56

t=7.2, x=210.24, y=175.2, d=35.04

t=9.6, x=280.32, y=262.8, d=17.52

t=12, x=350.4, y=350.4, d=0 <-------

So your answer is 12 hours.

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