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77julia77 [94]
3 years ago
12

What are the new vertices of triangle LMN, shown, if the triangle is reflected across the horizontal line y = 1, also shown?

Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:  The correct option is (D) L′ = (–4,0), M′ = (3,–2), N′ = (4,0).

Step-by-step explanation:  Given that the triangle LMN shown in the figure is reflected across the line y = 1.

We are to find the new vertices of the triangle LMN.

From the figure, we note that

the co-ordinates of the vertices of triangle LMN are L(-4, 2), M(3, 4) and N(4, 2).

We know that

if a point (x, y) is reflected across the line y = k, then its new co-ordinates are (x, 2k - y).

Therefore, after getting reflected across the line y = 1, teh new co-ordiantes of the vertices of triangle LMN will be

L(-4, 2)  ⇒  L'(-4, 2 × 1 - 2) = L'(-4, 2-2) = L'(-4, 0),

M(3, 4)  ⇒  M'(3, 2 × 1 - 4) = M'(3, 2-4) = M'(3, -2),

N(4, 2)  ⇒  L'(4, 2 × 1 - 2) = N'(4, 2-2) = N'(4, 0).

Thus, the co-ordinates of the new vertices of triangle LMN are L'(-4, 0), M'(3, -2) ans N'(4, 0).

Option (D) is CORRECT.

Marina CMI [18]3 years ago
7 0
D.
just count the distance between the point and the reflection line and then find the opposite of that number
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6 0
1 year ago
A virus that initially infected four people is spreading at a rate of 15% each week.
Solnce55 [7]

Answer:

"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"

Step-by-step explanation:

<u>Complete Question:</u>

A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily

f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily

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<u>Solution:</u>

The weekly number of people infected would be:

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7 days in a week, so daily number of people infected would be:

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To find daily rate, we set these 2 equations equal and solve for r:

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Okay how about this,
RideAnS [48]

Answer:

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Step-by-step explanation:

4/11

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Hello,
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