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What is the image of (-2,9)after a dilation by a scale factor of 5 centered at the origin?

asambeis [7]

Answer:

(- 10, 45 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor, that is

(- 2, 9 ) → (- 2 × 5, 9 × 5 ) → (- 10, 45 )

7 0

3 years ago

2) Show is fang steadily in Syracuse, New York. After 2 hours 4 inches of snow has fallen

Aleks [24]

Answer:

y = 2x

48 inches of snow

Step-by-step explanation:

6 0

3 years ago

the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

$a_{n} = a_0 + (n-1)d$

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_1+a_n)}{2}$

ai = ai-1 + 6

This means that $d = 6$

In this question:

Sum of the first 800 terms, so $n = 800$

First term is -53, so $a_1 = -53$

The 880th term is:

$a_{880} = -53 + (880-1)*6 = 5221$

Sum

$S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920$

The sum of the first 880 terms in the sequence is 2,273,920.

4 0

3 years ago

What is the complete pattern?<br> _______ 8,570 ________ 85.7 8.57 _______

laila [671]

<span>The Complete pattern is 85,700, 8,570, 857, 85.7, 8.57, 0.857.It is nothing but just moving the decimal places to the right side.Otherwise each number should multiplied and divided by 10 so that we derived the complete pattern.When you multiply by moving the decimal point to the right, you also need to add a zero to the end of it. This is an alternative method for the pattern.</span>

3 0

3 years ago

Read 2 more answers

From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her

Vinil7 [7]

Answer:

$270.3\ ft$