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Anvisha [2.4K]
2 years ago
6

Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Mathematics
1 answer:
Lady_Fox [76]2 years ago
8 0

Rotation and reflection are instances of transformation

See attachment for the new position of  \triangle ABC

From the question, we have:

A = (-1,1)

C = (-2,4)

The rule of 90 degrees clockwise rotation is:

(x,y) \to (y,-x)

Using the above transformation, the new points would be

A' = (1,1)

B' =(3,3)

C' = (4,2)

The next transformation is reflection over the x-axis

The rule of this transformation is:

(x,y) \to (x,-y)

So, the new points would be:

A" = (1,-1)

B" = (3,-3)

C" = (4,-2)

See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

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The sales tax rate is 10%. If Julie buys a picnic table priced at $793.60,how much tax will she pay?
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she will pay 79.36 in taxes

Step-by-step explanation:

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the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430.
butalik [34]

Answer:

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

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B =50

Replacing B in any equation:

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Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...
melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

     8+4 = 12

     12+4 = 16  and so on.

Since the next term is obtained by adding 4 to the previous term.

<em>So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, .... </em>

<em>Verification: </em>

<em>                 f(n) = f(n-1) + 4</em>

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

<em>                f(2) = f(2-1) + 4</em>

<em>                f(2) = f(1) + 4</em>

<em>                f(2) = 4 + 4</em>

<em>                f(2) = 8</em>

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

<em>                 f(3) = f(3-1) + 4</em>

<em>                 f(3) = f(2) + 4</em>

<em>So, adding 4 in f(2)=8 would give us the next term i.e. 12</em>

<em>                f(3) = 8 + 4</em>

<em>                 f(3) = 12</em>

<em />

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly<em> </em>

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Graph the inequality y&gt;x-2
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Answer: 2

Step-by-step explanation:

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