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dimaraw [331]
3 years ago
14

Find (a) thr distance d(A,B) between the points A and B and (b) the midpoint of the segment AB

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

x1 + x2 \div 2 \: y1 + y2 \div 2

Step-by-step explanation:

Answer is (4 , -1/2)

If you have any doubts see the image

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An elevator goes up 7 floors and then down 4 floors. What integer represents the change in the floor level?
mariarad [96]

3

Going up 7 and then down 4 can be represented by 7-4=3

4 0
3 years ago
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tia is planning a sailing party for her friends the boat rental is 15$ plus an additional 15$ per person tia has saved up 400$ w
Brrunno [24]
25 people leaving $15 for the boat rental and that still leaves you a remainder of $10 
8 0
3 years ago
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3x^2 - 4x = -2<br> Solve
amid [387]

Answer:

x =   \bigg \{\frac{ 2   - \sqrt{2} \: i }{3}, \:  \: \frac{ 2    +  \sqrt{2} \: i }{3} \bigg \}

Step-by-step explanation:

3 {x}^{2}  - 4x =  - 2 \\ 3 {x}^{2}  - 4x + 2 = 0 \\ equating \: it \: with  \\ a {x}^{2}  + bx + c = 0 \\ a = 3 \:  \: b =  - 4 \:  \: c = 2 \\  {b}^{2}  - 4ac \\  =  {( - 4)}^{2}  - 4 \times 3 \times 2 \\  = 16 - 24 \\  =  - 8  \\  \ {b}^{2}  - 4ac < 0  \\  \therefore \: given \: quadratic \: equation \: have \:  \\ imaginary \: solutios. \\  \\ x =  \frac{ - b \pm \sqrt{{b}^{2}  - 4ac } }{2a}  \\ =  \frac{ - ( - 4) \pm \sqrt{ - 8} }{2 \times 3} \\ =  \frac{ 4 \pm 2\sqrt{2} \: i }{2 \times 3}  \\  =  \frac{ 2 \pm \sqrt{2} \: i }{3} \\  \therefore \: x  = \frac{ 2   - \sqrt{2} \: i }{3}  \: or \: x  = \frac{ 2   +  \sqrt{2} \: i }{3} \:  \\  \\ x =   \bigg \{\frac{ 2   - \sqrt{2} \: i }{3}, \:  \: \frac{ 2    +  \sqrt{2} \: i }{3} \bigg \}

7 0
3 years ago
There is a photo attached
natulia [17]

You can use the sum of angles identities, then rearrange to put the result in the form of tangents.

\displaystyle\frac{\sin{(x+y)}}{\sin{(x-y)}}=\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}\\\\=\frac{\left(\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}{\left(\frac{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}\\\\=\frac{\tan{(x)}+\tan{(y)}}{\tan{(x)}-\tan{(y)}}

6 0
3 years ago
The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select
kakasveta [241]
Answer: Only 21:72:87


Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.


Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.

We can use 7x+24x+29x=180.

This becomes 60x=180 and the scale factor is x=3.

7*3=21, 24*3=72, and 29*3=87.
6 0
2 years ago
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