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Gnesinka [82]
2 years ago
13

Which rule yields the dilation of the figure QRST centered at the origin?

Mathematics
1 answer:
denis-greek [22]2 years ago
5 0

A) (x, y) → (3x, 3y)

<h2>Explanation:</h2>

When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:

  • If k > 1, the object will be larger than the original one.
  • If k < 1, the object will be smaller than the original one.

If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.

The only option that meets this requirement is:

A) (x, y) → (3x, 3y)

Whose scale factor is k = 3 making the dilated figure larger than the original one.

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

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Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
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A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

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multiply inside parentheses

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add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
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5 0
3 years ago
Read 2 more answers
15x²y³z÷3xy² simplify
umka21 [38]

Answer:

5xyz

Step-by-step explanation:

\frac{15x^2y^3z}{3xy^2}

Step 1: Divide the numbers

\frac{15}{3}=5\\\\=\frac{5x^2y^3z}{xy^2}

Step 2: Simplify

\frac{x^2}{x}\\\\= x\\\\=\frac{5xy^3z}{y^2}

Step 3: Simplify

\frac{y^3}{y^2} = y\\\\=5xyz

Therefore, the simplified answer is =5xyz

7 0
2 years ago
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Can i get help on question 7 please?
CaHeK987 [17]

Do you have notes so I can look at them to help you? Cause I pretty good at math but I need the notes.


3 0
3 years ago
One number is four times the other number. The larger number is also 87 more than the smaller number.
12345 [234]

Answer:

  • 116

Step-by-step explanation:

Let numbers be x and y

<u>Then we have equations:</u>

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<u>Comparing</u>

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  • y = 87/3
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<u>Then, the larger number is</u>

  • x = 4*29 = 116
3 0
2 years ago
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