What is the sum of 8 1/2 + 6 3/8

Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use

Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

(h, k) - Coordinates of the center.
r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

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8 0

1 year ago

The word geometry comes from the greek words geo, which means "earth," and metron, which means "a measuring of." given this info

Leokris [45]

The geometry was developed by a Greek mathematician called Euclid and developed to meet some practical need in surveying, construction, astronomy, and various crafts.

In this question,

Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts.

It was developed by a Greek mathematician called Euclid. This branch of geometry deals with terms like points, lines, surfaces, dimensions of the solids, etc.,

In several ancient cultures there developed a form of geometry suited to the relationships between lengths, areas, and volumes of physical objects. This geometry was codified in Euclid's Elements about 300 bce on the basis of 10 axioms, or postulates, from which several hundred theorems were proved by deductive logic.

Hence we can conclude that the geometry was developed by a Greek mathematician called Euclid and developed to meet some practical need in surveying, construction, astronomy, and various crafts.

Learn more about geometry here

brainly.com/question/28247330

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6 0

2 years ago

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability th

sergiy2304 [10]

The key word here is "or". If it's an OR question, you add the probabilities together. If it says "and", you multiply them together
As it is an OR question though, you add them.
So:
15 + 5 = 20%

5 0

3 years ago

Read 2 more answers

Find the absolute value of complex number Z = 2+5

sasho [114]

The answer would be 7.

6 0

4 years ago

Why is 1/8 greater than 1/10 but less than 1/3

Eddi Din [679]

Because in '1/8', there are 8 whole number but one shaded and in '1/10', there are 10 whole number and one shaded. as you see in the picture, the smaller the denominator is(when it goes up), the more bigger it is than those below. So 1/8 is greater than 1/10. but 1/8 is smaller than 1/3, because remember:
*The more you go down(or the higher the denominator is), the more you are making the fraction into more smaller pieces.

8 0

3 years ago