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3 years ago

(3, 4) was dilated to become point X' (12, 16). What was the scale factor?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

Step one: correspond x values and y values together

it would be: 3, 12 and 4, 16

Step two: divide

12/3 = 4 and 16/4 = 4

both numbers = 4

scale factor is 4

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Step-by-step explanation:

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Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

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Step-by-step explanation:

The equation of a circle in the standard form is

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Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

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$(x^{2} -x) + (y^{2}) - 14.75 = 0$

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Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

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Step-by-step explanation:

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It is given that the bacteria in the culture increase by 260% per week. Now we assign values to get a better understanding. If there were 1,000 bacteria in the culture at the start of the week there would be 1,000 + 260% at the week's end = 1,000 + 2,600 = 3,600 at the week's end.

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