# Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

so the distance from A to A' should be the same as form B to B'

distance formula
distance between (x1,y1) and (x2,y2) is

so distance between (1,5) and (-2,1) is

the distance is 5 units

5 units

Step-by-step explanation:

## Related Questions

If x varies directly as y, find x when y=8. x=14 when y=-2

4

Step-by-step explanation:

x-y

14-8=6

so x is 6 more than y

y+6=x

y= -2. -2 + 6 = 4

Simplify 83. 24 192 512

83 is a prime
24  = 2³x3
192 = 2⁶x3
256 = 2⁸

LCM is between 100 and 200 and their greatest common factor is 64

The possible numbers are,

64 and 128 or 64 and 192

Step-by-step explanation:

Given,

The greatest common factor of two numbers is 64,

Let first number = 64x and second number = 64y

Where,

GCF(x, y) = 1,

Now, LCM( 64x, 64y) = 64xy,

According to the question,

100 < 64xy < 200

⇒ 1.5625 < xy < 3.125

⇒ xy = 2 or 3   ( ∵ xy must be a whole number )

If xy = 2,

⇒ x = 1, y = 2 or x = 2, y = 1

Thus, the numbers are 64 and 128.

If xy = 3,

⇒ x = 1, y = 3 or x = 3, y = 1

Thus, the numbers are 64 and 192.

If m&ms cost 5.99 a pound how much would it cost to buy eight and a half pounds of m&ms?

Multiply

5.99

by

8

47.92

47.22

Step-by-step explanation:

If you know the density and volume of a substance, how could you find its mass?

Since D=MV, we can infer that M=D/V

What is solve 5x-65=3x-17

If you would like to solve 5x - 65 = 3x - 17, you can do this using the following steps:

5x - 65 = 3x - 17
5x - 3x = 65 - 17
2x = 48
x = 48/2
x = 24

The correct result would be 24.

Carlos brought 9 pounds of oranges for \$6.How much will Carlos pay for 30 pounds of oranges?

\$20

Step-by-step explanation:

First you find how much it is for a pound by doing 6/9

6/9= .66

Then you multiply the unit rate (.66) by 30

.66*30=20

Andrew is 6 years older than Phil. The sum of their age is 14. What are their ages?

He is eight years of age.

This is translation. We're going to represent Andrew as 'A' and Phil as 'P'.

A=6+P (key word: "is" means equal)

A+P=14

Now we substitute A in the equation as:

(6+P)+P=14

-6 -6
------------
2P=8
---- ---
2 2

P=4

We just find out that Phil is 4 years old...BUT WHAT ABOUT ANDREW!!??? We are simply just going to substitute Phil's age into one of the equations as so:

A+P=14

A+4=14
-4 -4
-----------
A=10

Andrew is 10 years old and Phil is 4 years old! Have a blessed day!

Simplify the ratio. 14 to 22. type as an integer or a fraction