It is positive and increasing

Graph the polygon and its image after a dilation centered at C(1,1)

Grace [21]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.
$k$ - Dilation factor.
$P(x,y)$ - Original point of the polygon.
$P'(x,y)$ - Dilated point of the polygon.

If we know that $O(x,y) = (1,1)$ , $k = 0.5$ , $J(x,y) = (3,1)$ , $K(x,y) = (5, -3)$ , $L(x,y) = (5,5)$ and $M(x,y) = (3,7)$ , then the coordinates of the new polygon are:

$J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]$

$J'(x,y) = (1,1)+0.5\cdot (2,0)$

$J'(x,y) = (1,1) +(1,0)$

$J'(x,y) = (2,1)$

$K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]$

$K'(x,y) = (1,1) +0.5\cdot (4,-4)$

$K'(x,y) = (1,1) +(2,-2)$

$K'(x,y) = (3,-1)$

$L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]$

$L'(x,y) = (1,1) + 0.5\cdot (4,4)$

$L'(x,y) = (1,1) + (2,2)$

$L'(x,y) = (3,3)$

$M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]$

$M'(x,y) = (1,1) +0.5\cdot (2,6)$

$M'(x,y) = (1,1) +(1,3)$

$M'(x,y) = (2,4)$

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

We kindly invite to check this question on dilations: brainly.com/question/13176891

6 0

3 years ago

The digit in each place has a value that is

kati45 [8]

ok lets say the number is 375 ok so the five is in the ones place so its worth only 5 the seven is in the tenths place its worth would be 70 and all you had to was multiply the number times 10 because it in the tenths place ok moving on the 3 is in he hundreds place so its worth 300 why because all you have to do is multiply the number in the hundreds by one hundreds

7 0

3 years ago

2(4y-5)=70 how u do this

steposvetlana [31]

Answer:

Step-by-step explanation:

First you distribute so two times 4Y is 6Y then you multiply the two in the five which gives you 2Y -5 equals 70

3 0

4 years ago

Read 2 more answers

Please help! Write down the quadratic equation whose roots are x = -7 and x = 1, and the coefficient of x^2 is 1.

garik1379 [7]

Answer:

x²+6x-7

Step-by-step explanation:

Follow me Please

3 0

3 years ago

What is the quotient of 35 and 805 ?

Mazyrski [523]

I can’t tell you a quotient unless there is a problem silly goose ...

goodluck , if you have the problem lmk

7 0

3 years ago