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MAVERICK [17]
3 years ago
14

Adam and Betty start are the same point Adam walls 3 feet north while Betty walks 4 feet west. If a straight line were to be dra

wn between Adam and Betty How would that lime be

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

5 feet.

Step-by-step explanation:

i) Adam walks 3 feet north

ii) Betty walks 4 feet west.

iii) We know that the angle between north and west is 90 degrees.

iv) Therefore we can say that distance Adam walks is the height of a right

    angled triangle and the distance that Betty walks is the base of the right  

  angled triangle.

v) Therefore by using Pythogoras's Theorem we can calculate the length of

   the line between Adam and Betty as shown

  length of line between Adam and Betty = \sqrt{3^{2} + 4^{2} }  = \sqrt{9 + 16} =  \sqrt{25}  = 5 feet.

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Mr. Martin's math test, which is worth 100 points, has 35
AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

x+y=35\\5x+2y=100

From equation no 1:

x+y=35\\x=35-y

Putting x=35-y in second equation

5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

  • brainly.com/question/11566221
  • brainly.com/question/13063819

#LearnwithBrainly

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Answer:

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