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nikklg [1K]
3 years ago
7

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
( x_{1},  y_{1} ) = (-3, 2)

( x_{2} ,  y_{2} ) = (9, -3)

The distance between two points 

= \sqrt{ ( x_{2} -  x_{1}) ^{2} + (  y_{2} -  y_{2})  ^{2} }

= \sqrt{ (9 - (-3) )^{2} + (-3 -2)^{2} }

= \sqrt{ (9 + 3)^{2} + (-3 -2)^{2} }

= \sqrt{ (12)^{2} +  (-5)^{2}}

= \sqrt{144 + 25}

= \sqrt{169}

= 13

Hence, the distance between the two points is 13.
Papessa [141]3 years ago
5 0
The difference of -3 to positive 9 is 12. Positive 2 to -3 is 5

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Someone help me... The following numbers are given: 17, 25, 35, 43, 55, 119, 187. Choose four numbers from the given numbers and
Drupady [299]

Step-by-step explanation:

Co-prime numbers are numbers that only have 1 as a common factor.

For example, 35 = 1×5×7, and 39 = 1×3×13.  So 35 and 39 are co-prime.

Write the prime factorization of each number:

17 = 1×17

25 = 1×5²

35 = 1×5×7

43 = 1×43

55 = 1×5×11

119 = 1×7×17

187 = 1×11×17

43 is co-prime with all of these, so we will not use it.

If we start with 35 in the upper left, and 187 in the lower right, then we can also rule out 17 and 25, since these are co-prime with either 35 or 187.

So that leaves 55 and 119 as the other two numbers.  They can go in any order, as long as they are diagonal from each other.

\left[\begin{array}{cc}35&55\\119&187\end{array}\right]

6 0
3 years ago
This is confusing I need help .
Fittoniya [83]

Answer:

  • x = 54
  • angle ACD = 124°

Step-by-step explanation:

The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).

You are expected to use this relation to write and solve an equation.

  exterior angle = angle D + angle B

  (2x +16) = 58 + (x+12)

  2x +16 = x +70

  x + 16 = 70

  x = 54

Then angle ACD is ...

  angle ACD = (2x +16)° = (2·54 +16)°

  angle ACD = 124°

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Answer:

It should be 1/18

Step-by-step explanation:

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