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3 years ago

Find the length of CD

Mathematics

2 answers:

astraxan [27]3 years ago

8 0

Step-by-step explanation:

$\underline{ \underline{ \text{Given \: points}}} :$

C ( 3 , -2 ) & D ( 7 , -8 )

Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .

$\underline{ \underline{ \text{To \: find}}} :$

Length of CD

$\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}$

⇢ $\tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }$

⇢ $\tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + {( - 6)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + 36}}$

⇢ $\tt{CD = \sqrt{52}}$

⇢ $\tt{CD = 7.2 \: units}$

$\pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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KiRa [710]3 years ago

5 0

Answer: (B)

Explain:

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Step-by-step explanation:

Each die has six possible outcomes, so both dice together have 6*6 = 36 outcomes:

(1,1), (1,1), (1,2), (1,2), (1,3), (1,3),

(2,1), (2,1), (2,2), (2,2), (2,3), (2,3),

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(5,1), (5,1), (5,2), (5,2), (5,3), (5,3),

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The sum of the values for each outcome is:

2, 2, 3, 3, 4, 4,

3, 3, 4, 4, 5, 5,

4, 4, 5, 5, 6, 6,

5, 5, 6, 6, 7, 7,

6, 6, 7, 7, 8, 8,

7, 7, 8, 8, 9, 9.

To find the probability of each sum, we just need to divide the number of times this sum appears over the total number of possibilities (36), so we have:

P(2) = 2/36 = 1/18

P(3) = 4/36 = 1/9

P(4) = 6/36 = 1/6

P(5) = 6/36 = 1/6

P(6) = 6/36 = 1/6

P(7) = 6/36 = 1/6

P(8) = 4/36 = 1/9

P(9) = 2/36 = 1/18

8 0

3 years ago