All categories

3 years ago

Dilation of 1/2 through the point (-4,2)

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

See the table attached for a list of the dilated coordinates.

Step-by-step explanation:

Each image point will be the midpoint* of the segment joining the center of dilation with the pre-image point. Since there are so many, it is convenient to use a spreadsheet to calculate them.

A'(-1.5, 5)
B'(1.5, 1.5)
C'(-1.5, 4.5)
D'(1.5, 6)
E'(-1.5, 2.5)
F'(2.5, 5)

_____

* The points are the midpoint because the scale factor is 1/2. That is, the distance from the center of dilation (COD) in the image is 1/2 the distance from the COD to a point in the pre-image. Any midpoint is the average of the two endpoints.

Here, that means the image point is half the sum of the coordinates of the pre-image point and (-4, 2). That is what the spreadsheet calculates.

You might be interested in

How do you know where and when the graph crosses the horizontal asymptote?

Genrish500 [490]

The horizontal asymptote is the line which the curve approaches to cross but never crosses the boundary. The horizontal asymptote can be identified when the exponent in the denominator of the function is larger than the exponent in the numerator. If not, no horizontal asymptote exists. WHen there is, we equate the denominator to zero and get x

7 0

3 years ago

Hello if you're able to answer this question for me please do and provide work, Thank you

Harlamova29_29 [7]

The answer is c to your question

5 0

3 years ago

What the recursive formula for the sequence

klemol [59]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ a_n=2-5(n-1)\implies a_n=\stackrel{\stackrel{a_1}{\downarrow }}{2}+(n-1)(\stackrel{\stackrel{d}{\downarrow }}{-5})$

so, we know the first term is 2, whilst the common difference is -5, therefore, that means, to get the next term, we subtract 5, or we "add -5" to the current term.

$\bf \begin{cases} a_1=2\\ a_n=a_{n-1}-5 \end{cases}$

just a quick note on notation:

$\bf \stackrel{\stackrel{\textit{current term}}{\downarrow }}{a_n}\qquad \qquad \stackrel{\stackrel{\textit{the term before it}}{\downarrow }}{a_{n-1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{current term}}{a_5}\qquad \quad \stackrel{\textit{term before it}}{a_{5-1}\implies a_4}~\hspace{5em}\stackrel{\textit{current term}}{a_{12}}\qquad \quad \stackrel{\textit{term before it}}{a_{12-1}\implies a_{11}}$

8 0

4 years ago

Which of the following is a solution of y - x > -3? A. (6,2) B. (2,6) C. (2,-1)

NNADVOKAT [17]

Answer:

The correct answer would be B

Step-by-step explanation:

(x,y)

y-x>-3

6-2>-3

4>-3

7 0

4 years ago

Read 2 more answers

you pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get 9 points; if not, you lose a point

nexus9112 [7]

Answer: a = 9, b = 48, c = -1

Step-by-step explanation:

"a" represents the points you receive if an Ace is picked. It is given that you get 9 points ----> a = 9

"b" represents the number of cards that are Not an Ace. 4 cards in the deck are Aces so 52 - 4 = 48 cards are Not an Ace -----> b = 48

"c" represents the points you receive if Not an Ace is picked. It is given that you lose 1 point ----> c = -1

4 0

3 years ago