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3 years ago

What is the scale factor from polygon ABCD to polygon PQRS??

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image, AD = 2 units.

It's corresponding side PS = 3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

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An arithmetic sequence is represented by the explicit formula A(n) = 2 + 9(n - 1). What is the recursive formula?. . A. A(n) = A

KiRa [710]

A(n) = 2 + 9(n - 1) = 2 + 9n - 9
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Therefore, the recursive formular is A(n) = A(n - 1) + 9

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neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4}$

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Factor out $2 {x}^{2}$ from the expression

$\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out 11x from the expression

$\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}$

Factor out 12 from the expression

$\frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4}$

Factor out X - 1 from the expression

$\frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4}$

Write 11x as a sum

$\frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4}$

Factor out 2x from the expression

$\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}$

Factor out 3 from the expression

$\frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4}$

Factor out X + 4 from the expression

$\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}$

Reduce the fraction with X + 4

$(x - 1)(2x + 3)$

Multiply the parantheses

$2 {x}^{2} + 3x - 2x - 3$

Collect like terms

$2 {x}^{2} + x - 3$

Hope this helps...

Good luck on your assignment...

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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