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mixas84 [53]
3 years ago
7

The vertices of a figure are P(-3,4), Q(-1,3,) R(-2,1) and S(-4,1). Rotate the figure 270° clockwise about the origin. Find the

coordinates of the image.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

P (-3 , 4)  ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

Step-by-step explanation:

270° clockwise rotation: (x , y) ---> (-y , x)

P (-3 , 4)  ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

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skelet666 [1.2K]

Answer:

3^7

Step-by-step explanation:

We know that 3^8=3\cdot3^7and since it's multiplied by \frac{1}{3} which is the same thing as \frac{1}{3}^1we know that 3\cdot\frac{1}{3}\cdot3^7=3^7.

5 0
3 years ago
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4. The length of a rectangle is 4 more than its width. The perimeter of the rectangle is 60cm.
sergey [27]

Step-by-step explanation:

let width = w

if width = w, then length = w + 4

Therefore the perimeter is 2w + 2(w+4)

2w + 2(w+4) = 4w + 8

perimeter = 60cm

4w + 8 = 60

<em>-8</em>

4w       = 52

<em>divide each side by 4</em>

w = 13

length = w+4

therefore, length = 17

3 0
3 years ago
e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)
Tema [17]

Answer:

The rule of translation : (x,y)\rightarrow (x+7,y-4)

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

-5-2=-7

Difference between y-coordinates:

-5-(-9)=-5+9=4

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

(x,y)\rightarrow (x+7,y-4)

The vertices of image are

R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)

S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)

T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)

U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0
3 years ago
Find the median and mean of the data set below: 30, 39, 24, 19, 18 Median Mean​
Eva8 [605]

Answer:  mean=26 , median=24

Step-by-step explanation:

Mean=Sum of all values/number of values

mean= 30+39+24+ 19+18/5

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Median

arrange data in order

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In the case of ungrouped odd-numbered data, the number that  divided data into 2 equal parts is called the median.

so median=24

4 0
3 years ago
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What is the proportion of 2/5 = 8/x
natali 33 [55]
To find is out put it like this 2   8
                                          5    x
you multiple so 2 times what eduals 8 then you take that and multiply by 5
4 0
3 years ago
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