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Lunna [17]
3 years ago
11

Find the slope of the line that contains the points named. C(3, 8), D(-2, 5) -3/5 3/5 5/3

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
The slope formula is y2-y1/x2-x1 so if you plug in the numbers you get 3/5. the slope is 3/5
Ivanshal [37]3 years ago
5 0

Answer: \dfrac{3}{5}

Step-by-step explanation:

The slope of a line passing through two points X(a,b) and Y(c,d) is given by :-

m=\dfrac{d-b}{c-a}

Given points : C(3, 8) and  D(-2, 5)

Then , the  slope of a line passing through two points C(3, 8) and  D(-2, 5) is given by :-

m=\dfrac{5-8}{-2-3}=\dfrac{-3}{-5}=\dfrac{3}{5}

Hence, the  slope of the line that contains the points C(3, 8) and  D(-2, 5) is \dfrac{3}{5}

.

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{20,1,6,10,11}<br> Find the subset and the proper subset.
liubo4ka [24]
With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.

The subsets are:
null set  {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.


4 0
3 years ago
Can someone help me please im having a rough time with this question
In-s [12.5K]

Answer:

A

Step-by-step explanation:

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3 0
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The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab
mario62 [17]

Answer:

AB = 5\sqrt{3} cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

         BD^{2} = BE^{2} +ED^{2} = 5^{2} + 5^{2} = 25 + 25 = 50cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

AB^{2} =AD^{2} + BD^{2} = 5^{2} +50 = 25 +50 = 75 cm

=> AB = \sqrt{75}  = 5\sqrt{3} cm

Conclusion: AB = 5\sqrt{3}cm

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Step-by-step explanation:

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