What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?

Mathematics

1 answer:

Margaret [11]3 years ago

7 0

Answer:

$P' = (-10,-8)$

Step-by-step explanation:

Given

$P = (-5,-4)$

$k =2$

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

$P' = P * k$

This gives:

$P' = (-5,-4) * 2$

$P' = (-5* 2,-4* 2)$

$P' = (-10,-8)$

Hence, the image P' after dilating P is (-10,-8)

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zlopas [31]

Josef receives 3$ per hour spent doing chores. So, after x hours of chores, he receives 3x dollars. This money must be added to the 10$ he would receive no matter what, so the total expression is

$m = 10+3x$

We can test the options against the given patterns: in pattern 1, we have one black hexagon and 6 white hexagons. Let's see which equations fit: if we substitute b=1 and w=6 we have:

A) $6 = 6\cdot 1$ - ok

B) $6 = 3\cdot 1 +2$ - wrong

C) $6 = 2\cdot 1 +4$ - ok

D) $6 = 6\cdot 1 + 2$ - wrong

E) $6 = 2\cdot 1 + 3$ - wrong

So, the only feasible answers are A or C, because all the other functions don't fit even the first pattern. Let's test the two survivors for pattern 2: we have two black hexagons and 8 white hexagons. Plugging b=2 and w=8 into A and C we have

A) $8 = 6\cdot 2$ - wrong

C) $8 = 2\cdot 2 +4$ - ok

So, the answer is C, because it models correctly pattern 2 as well. For the sake of completeness, let's test this function against pattern 3 as well: we have 3 black and 10 white hexagons. Plugging b=3 and w=10 into C we have

C) $10 = 2\cdot 3 +4$ - ok