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-BARSIC- [3]
2 years ago
15

Polygon MNP shown on the coordinate planeA dilation centered about the origin will be performed on the polygon with vertices M(-

18, 12) forall(8,10),8(-6,8) and Q(- 8, - 8)
Mathematics
1 answer:
Lostsunrise [7]2 years ago
4 0

Answer:

N'(4, 5)

Step-by-step explanation:

The correct question is attached.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Dilation is a transformation that changes the size of a figure (i.e. it increases or reduces the size).

If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

The location of the polygon vertex is at M(-16, 12), N(8, 10), P(-6, 8) and Q(-8, -8).

After dilation, the new location of M is at M'(-8, 6)

M(-16, 12) ⇒ M'(-8, 6)

M(-16, 12) ⇒ M'[1/2(-16), 1/2(12)]

Hence the dilation factor is 1/2. This means that the new vertex is at:

N'(4, 5), P'(-3, 4) and Q'(-4, -4).

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Step-by-step explanation:

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17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
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Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

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Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

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First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

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=> x = y

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