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expeople1 [14]
3 years ago
10

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-4) and your house is located at (-

3,6). What is the distance, to the nearest unit, between your house and the subway stop.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
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Mean of four numbers a ,b, c, and d is 8 and mean of seven
Nana76 [90]

Answer:

  • 17 1/3 or 17.33

Step-by-step explanation:

<u>Mean of four numbers a, b, c, and d is 8:</u>

  • (a + b + c + d)/4 = 8  
  • ⇒ a + b + c + d = 32

<u>Mean of seven numbers x, y, z, a, b, c and d is 12:</u>

  • (x + y + z + a + b + c + d)/7 = 12

<u>Substitute the sum of 4 numbers:</u>

  • x + y + z + 32 = 7*12
  • x + y + z = 84 - 32
  • x + y + z = 52

<u>Mean of x, y and z is:</u>

  • 52/3 = 17 1/3 or 17.33
4 0
3 years ago
Find of the areas of the squares PQRSto that of ABCD where PQ=9cm and AB=5cm​
Ket [755]

Answer: Area of square PQRS is 81cm^2 and of ABCD is 25cm^2

You know its a square. Which means all the sides are equal and same length. If you dont know what's a square then here is the definition:

Square is a plane figure with four equal sides and four right (90°) angles.

So now we know both of are squares, in case of the first square, PQRS, one side length is already given which is PQ=9cm. Now one side is 9cm which means all the sides are 9cm's (PQ=9cm, QR=9cm, RS=9cm,SP=9cm). So to find area just multiply them:

9cm * 9cm = 81cm^2

Now you found the area of the first square. So for the second square, ABCD, one side length is 5 cm so all the rest three sides are also 5 cm. Again, multiply them in order to find the area:

5cm * 5cm = 25cm^2

So square PQRS is 81cm^2 to that of square ABCD is 25cm^2

CAUTIONS: IT IS NOT THAT HARD YA KNOW

By the way, hope it helps! ^^

7 0
2 years ago
What is 1-cos(6x)=___
FromTheMoon [43]

Answer:

2sin^2(3x)

Step-by-step explanation:

3 0
3 years ago
Please help I’m stuck on this question
melamori03 [73]
Oh goodness i have no clue
7 0
3 years ago
Read 2 more answers
If -(x - 1) = 5, find the value of -4x. Show your work.<br> PLEASEEEE !!!
irakobra [83]

Answer: x=-4

Step-by-step explanation:

1. Simplify:

-(x-1)=5 => -x+1=5

Isolate x:

-x=5-1 => -x=4 => x=-4

7 0
3 years ago
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