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Slav-nsk [51]
3 years ago
10

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, 3). Which e

xpression defines the transformation of any point (x, y) to (x′, y′) on the polygons
Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

(x',y')-->(x-3,y-2)

Step-by-step explanation:

Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:

1+a=-2

a=-2-1

a=-3

Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:

5+b=3

b=3-5

b=-2

Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

(x',y')-->(x-3,y-2)

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20/8 = 4K/32 help pls
Elis [28]

Answer:u

Step-by-step explanation:

20/8 = 4K/32

5/2 = K/8

Cross multiply

2K = 5×8

2K = 40

K = 40/2

K = 20

8 0
3 years ago
how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that
sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy (c_1)= \$ 12 per pound

           Cost of candy (c_2) = \$ 19\ per\ pound

           Total amount of mixture of be produced = 70\ pound

           Selling price of mixture = \$ 15 \ per\ pound

Let´s x be the amount of c_1 to be mixed in the mixture.

∴ Cost of c_1 in the mixture = 12x

Next, Cost of c_2 in the mixture = (70 - x)\times 19

And we know the cost of final mixture = 70 \times 15 = 1050

Now, putting all the value in the equation

⇒ 12x + 19 \times (70 - x) = 1050

⇒ 1330 - 7x = 1050

⇒ -7x = -280

∴ x = 40\ pound

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0
3 years ago
4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
brilliants [131]

Answer:

2\frac{1}{2} litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4\frac{1}{2} litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4\frac{1}{2} litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4\frac{1}{2} litres

5 juice bottles ===> x

∴x = \frac{5 * 4\frac{1}{2} }{9} litres

x = \frac{5 * 4.5}{9} litres

x = \frac{22.5}{9} litres

x = 2.5 litres or 2\frac{1}{2} litres

Hope this helps!!!

3 0
3 years ago
!!! HELP ASAP !!! 40 x 20 - 6 + 4 =
Mamont248 [21]

Answer:

798

Step-by-step explanation:

first you do 40x20=800 then 800-6=794 then 794+4=798

8 0
3 years ago
You are getting ready for a family vacation you decide to download as many movies as possible before leaving your road trip. If
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You’re problem doesn’t make sense
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