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weeeeeb [17]
3 years ago
11

Evaluate 3^-2, please help

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

b−n=1bn.

Exact form: 1/9

Decimal form: 0.1

Have a good day! :)

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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

#SPJ1

8 0
1 year ago
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What
jek_recluse [69]

Answer:

0.98

Step-by-step explanation:

The investment starts at $10,000.

$10,000 is 100% of the investment.

In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.

100% - 2% = 98%

After the first year, the investment is worth 98% of the original value.

98% as a decimal is 0.98

Answer: 0.98

4 0
3 years ago
Read 2 more answers
Is the equation y=9x linear
ludmilkaskok [199]

Answer:

Linear

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1  and the degree of variable  x  is  1 .

Linear

4 0
3 years ago
Read 2 more answers
Please help me calculate this I am in y 5
aleksley [76]

Answer:

Going from bottom to top, left to right:

3804

5005

8118

15094

13391

28485

27422

Step-by-step explanation:

3 0
3 years ago
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?​
Brrunno [24]

Answer:

450

Step-by-step explanation:

60 x 7.5=450

5 0
3 years ago
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