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Ghella [55]
2 years ago
6

Which graph represents -

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0

Answer:

3rd

Step-by-step explanation:

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Please help me <br> Show your work <br> 10 points
Svet_ta [14]
<h2>Answer</h2>

After the dilation \frac{5}{3} around the center of dilation (2, -2), our triangle will have coordinates:

R'=(2,3)

S'=(2,-2)

T'=(-3,-2)

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

(x,y)→(x-2, y+2)

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor \frac{5}{3}. Therefore our second partial rule will be:

(x,y)→\frac{5}{3} (x-2,y+2)

(x,y)→(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

(x,y)→(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)

(x,y)→(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

R=(2,1)

R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})

R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})

R'=(2,3)

S=(2,-2)

S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

S'=(2,-2)

T=(-1,-2)

T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

T'=(-3,-2)

Now we can finally draw our triangle:

8 0
3 years ago
Explain why an equilateral polygon is not necessarily a regular polygon
poizon [28]
For a polygon to be regular it must have all sides the same length and all interior angles the same.
5 0
3 years ago
Sanjeev had 350 marbles and he gave 1/5 of them to his friend, Rayson. How many
kicyunya [14]

Answer:

70

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What are the solutions to x^2 + 8x + 7 = 0
Oksana_A [137]
So to solve this you need to reverse factor this problem

x^2 + 8x + 7 = 0

The common formula is this for factoring ax^2 + bx + c

Now you have to think what multplties to "c" and adds up to "b".

So in this case it's 7 x 1 = 7 and 7 + 1 = 8

So you set it up like this

(x + 7)(x + 1) = 0

So now you can check the factors by multiplying them together and see if it gets your original equation which is does.

So finally to get the answers you need to set each parenthesis to 0 and solve for x.

x + 7 = 0

x + 1 = 0

and we get x = -1 and - 7

You can also plug these two answers back into your original equation to see if it equals 0.

If you have any questions please feel free to comment

7 0
3 years ago
7p + 3(-6p + 2) &gt; 7p+9+1<br> Someone help me
olga_2 [115]

Answer:

p > -0.2222

Step-by-step explanation:

7p + 3(-6p + 2) > 7p + 9 +1

7p + (3*-6p + 3*2) > 7p + 10

7p - 18p + 6 > 7p + 10

-11p - 7p > 10 - 6

-18p > 4

p > 4/-18

p > -0.2222

3 0
3 years ago
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