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Alex787 [66]
9 months ago
10

1. Use the given translation rule to find the image coordinates. Rule: (x, y) –(x - 4, y + 3) A(4,6) →A') and B(-2,3) -→B'().O A

'(0,9) and B'(-2,3)O A'(8,3) and B'(2,0)O A'(0,9) and B'(-6, 6)O A' (4,6) and B'(-6, 6)
Mathematics
1 answer:
artcher [175]9 months ago
4 0

We have to translate the coordinates using the given rule.

The given rule is (x-4,y+3)

Now we have to translate the point A(4,6) using the given rule.

Then,

A' is (4-4,6+3)=(0,9)

Now the point B(-2,3) is to be transformed.

Then,

B' is (-2-4,3+3)=(-6,6)

Hence the answer is A'(0,9) and B'(-6,6)

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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
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jeka57 [31]

Step-by-step explanation:

this is your answer.............

6 0
2 years ago
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What is the measure of Angle B A C?
Simora [160]
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Answer:

If I'm correct it is 10.

Step-by-step explanation:

The distance was 10 ;-;.

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