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Rus_ich [418]
3 years ago
6

Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'

C'D'. If = 6, what is the scale factor of the dilation?

Mathematics
1 answer:
Fed [463]3 years ago
3 0
I have attached a screenshot with the complete question.

Answer:
dilation factor is 2

Explanation:
First, we will need to find the distance of AB as follows:
distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}
AB = \sqrt{(4-1)^2 + (1-1)^2}
AB = √9 = 3 units

Dilation can be represented as follows:
A'B' = k * AB
where k is the dilation factor

We are given that:
A'B' = 6

We can note that:
A'B' = 2 * AB
Therefore, the dilation factor is 2.

Hope this helps :)

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What is the perimeter of a square which has the same area as a circle with circumference of 4π?
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Paper cups are sold in packages of 6 and napkins are sold in packages of 8 I want to buy the same number of each what is the lea
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Step-by-step explanation:

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2 years ago
What is the frequency of yellow
Zina [86]

Answer:

5.131 × 10¹⁴  Hz

Step-by-step explanation:

<u>Planck relation</u>

\large\boxed{E = hf}

where:

  • E = Energy of the photon (J).
  • h = Planck's constant (J · s).
  • f = frequency of light produced (Hz).

Given values:

  • E = 3.4 × 10⁻¹⁹ J
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Substitute the given values into the formula and solve for f:

\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f

\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}

\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}

\implies f=0.5131\times 10^{(-19-(-34))}

\implies f=0.5131 \times 10^{15}

\implies f=5.131 \times 10^{14}

8 0
1 year ago
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