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mel-nik [20]
3 years ago
11

What is the exact distance between point e and point f

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

The answer to your question is: d = √73  

Step-by-step explanation:

data

Point E (-3, 4)

Point F (5, 1)

Formula

d = √((x2-x1)² + (y2-y1)²)

d = √(5-(-3))² + (1-4)²)          substitution

d= √ (5+3)² + (-3)²               simplify

d= √ 8² + -3²

d = √ 64 + 9

d = √73                               result

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The total number of restaurant purchased meals that the average person will eat in a restaurant, and a car, or at home in a year
Andrei [34K]

Answer:

  • 80 restaurant purchased meals are eaten in a restaurant
  • 31 meals are eaten in a car
  • 60 meals are eaten at home

Step-by-step explanation:

Let us suppose r be the total number of meals eaten in a restaurant

Let us suppose c be the total number of meals eaten in a car

Let us suppose h be the total number of meals eaten in a home

  • The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence, r + c + h = 171.....[A]
  • The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence, c + h = r + 11.....[B]
  • Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence, r = h + 20.....[C]

Substituting Equation [B] into [A],

r + c + h = 171.....[A]

r + r + 11 = 171

2r + 11 = 171

2r = 160

r = 80

Putting r = 80 in r = h + 20.....[C]

80 = h + 20

h = 60

Putting r = 80 and h = 60 in r + c + h = 171.....[A]

80 + c + 60 = 171

c = 171 - 60 - 80

c = 31

Therefore,

  • 80 restaurant purchased meals are eaten in a restaurant
  • 31 meals are eaten in a car
  • 60 meals are eaten at home

Verification:

r + c + h = 171

Putting r = 80, c = 31 and h = 60 in r + c + h = 171

80 + 31 + 60 = 171

171 = 171

<em>Keywords: number, equation</em>

<em>Learn more word problem from brainly.com/question/11920172</em>

#learnwithBrainly

5 0
3 years ago
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