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Zolol [24]
3 years ago
13

HDW calculate distance on the coordinate grid?

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:

CD = 10 units

Step-by-step explanation:

Coordinates of the given points are A(2, 14), B(2, 3), C(4, 2) and D(14, 2).

Distance between the two points (x_1,y_1) and (x_2,y_2) is given by the formula,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between the two points C(4, 2) and D(14, 2) will be,

CD = \sqrt{(14-4)^2+(2-2)^2}

     = \sqrt{(10)^2}

     = 10 units

Therefore, distance between C and D is 10 units.

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Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​
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<h3><u>Question</u><u>:</u></h3>

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

<h3><u>Solution</u><u>:</u></h3>
  • Let the age of Tiffany be x years.
  • Then, the age of Emily = 4x years.
  • After 10 years, the age of Tiffany will be (x+10) years.
  • After 10 years, the age of Emily will be (4x+10) years.
  • Therefore, by the problem

4x + 10 = 2(x + 10) \\  = 4x + 10 = 2x + 20 \\   = > 4x - 2x = 20 - 10 \\  =  > 2x = 10 \\  =  > x =  \frac{10}{2}  \\  =  > x = 5

  • So, Tiffany's present age = 5 years.
  • Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

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