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Anastasy [175]
2 years ago
10

Find the 12th term of the geometric sequence 5,–25, 125, ...

Mathematics
1 answer:
12345 [234]2 years ago
6 0

Answer:

244140625

5¹²

it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.

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Point A of rectangle ABCD is located at coordinates (3,7). If rectangle ABCD is translated down 7 and left 5, what are the new c
uranmaximum [27]

Answer:

The new co-ordinates are A¹ ( -2 , 0)

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Point A of rectangle ABCD is located at coordinates (3,7).

<u><em>Type of transformation </em></u><em>                               </em><u><em> change of co-ordinate point</em></u>

<em>Vertical translation up 'd' units                   (x, y)→ (x, y +d)</em>

<em>Vertical translation down 'd' units              (x, y)→ (x, y -d)</em>

<em>Horizontal translation left 'C' units              (x, y)→ (x - c , y) </em>

<em>Horizontal translation right 'C' units             (x, y)→ (x + c , y) </em>

<u><em>Step(ii</em></u><em>):-</em>

<em>Given rectangle ABCD is translated down 7 and left 5</em>

<em>Given Point A(3 ,7) </em>

Vertical translation down '7' units  t

The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units

Now the new co-ordinates are A¹ ( 3-5 , 7-7)

<u><em>Final answer:-</em></u>

The new co-ordinates are A¹ ( -2 , 0)

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The answer is 24x^2 + 80x + 24
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