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Romashka [77]
3 years ago
6

Locations of the towns: Dunkirk (0,0), Clearfield (10,2), Lake City (5,7) and Allentown (1,4)

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Graphing the points shows you that ...

The 2 towns closest together are Dunkirk and Allentown.

The 2 towns farthest apart are Dunkirk and Clearfield.

_____

A compass (or dividers) can help you sort it out once you plot the points on a graph, if you don't trust your eyeballs to tell you which distances are longest and shortest.

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Tell whether the statement is true or false.<br>{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}​
nikklg [1K]

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

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so false

8 0
3 years ago
Graph ​ y−5=−23(x+9) ​ using the point and slope given in the equation.
Mashcka [7]

Answer:

Plot (-9,5) then you do rise over run and go down 2 and to the right 3

Step-by-step explanation:

So your points would  be (-9,5) and(-6,3)

6 0
3 years ago
Which value of a would make the following expression completely factored?
Margarita [4]

Answer:

when it ur first question and u make it hard

Step-by-step explanation:

Make it easy btw this is your teacher

6 0
3 years ago
How to do the problem
ruslelena [56]

Answer:

1.) x = 14.96ft

2.) The shorter leg is 6 meters

Step-by-step explanation:

1.) a^2 + b^2 = c^2

  • a and b = legs of the triangle
  • c = hypotenuse the longest side

15ft^2 + x^2 = (2x +1)^2

  • 225 + x^2 = (2x^2 + 1^2)
  • 225 = 2x^2 + 1 - x^2
  • 225 = x^2 + 1
  • 225 - 1 = x^2 +1 - 1
  • √224 = √x^2
  • x = 14.9662...

2.) Longer leg a = x+2,  shorter leg b = x, Hyp. c= 2x-2

Equation:

  • (x+2)^2 + x^2 = (2x-2)^2

Solve:

  • (x+2)(x+2) + x^2 = (2x-2)(2x-2)
  • x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
  • -2x^2 + 12x = 0
  • 2x (-x + 6) = 0

Answers:

  • 2x = 0
  • -x + 6 = 0
  • <u>x=0 -or- x=6</u>

<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>

<u>B=6</u>

Check:

  • A = x + 2: A= 6 +2 = 8
  • B= 6
  • C = 2x -2: C= 2(6) -2 = 10

8^2 + 6^2 = 10^2

  • 64 + 36 = 100
  • 100= 100
5 0
3 years ago
The wind power of a given wind turbine, P(v), depending on the wind speed in meters per second, v, can be found using the functi
PIT_PIT [208]

Answer:

18 m/s

Step-by-step explanation:

We used the given expression for the wind power: P(v)=0.002713v^3 replacing the power (on the left hand side of the equal sign) by 15.83 MegaWatts, and then solve for v which is raised to the power 3:

P(v)=0.002713v^3\\15.83=0.002713v^3\\\frac{15.83}{0.002713} =v^3\\v^3=5834.87\\v=\sqrt[3]{5834.87} =18.003\frac{m}{s}

5 0
3 years ago
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