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In-s [12.5K]
3 years ago
13

Find the midpoint of (-3,7) and (-9,1).​

Mathematics
2 answers:
STatiana [176]3 years ago
5 0
(-6,4) is your mid point
Temka [501]3 years ago
3 0

Answer:

(-6, 4)

Step-by-step explanation:

You might be interested in
in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)
Nimfa-mama [501]

Answer:

The component of \vec u orthogonal to \vec a is \vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right).

Step-by-step explanation:

Let \vec u and \vec a, from Linear Algebra we get that component of \vec u parallel to \vec a by using this formula:

\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a (Eq. 1)

Where \|\vec a\| is the norm of \vec a, which is equal to \|\vec a\| = \sqrt{\vec a\bullet \vec a}. (Eq. 2)

If we know that \vec u =(2,1,1,2) and \vec a=(4,-4,2,-2), then we get that vector component of \vec u parallel to \vec a is:

\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)

\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)

\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)

Lastly, we find the vector component of \vec u orthogonal to \vec a by applying this vector sum identity:

\vec  u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a} (Eq. 3)

If we get that \vec u =(2,1,1,2) and \vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right), the vector component of \vec u is:

\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10}    \right)

\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)

The component of \vec u orthogonal to \vec a is \vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right).

4 0
3 years ago
Which would not be a step in finding the area of a circle by cutting it
Mkey [24]

Answer:

D. Continue cutting smaller and smaller slices.

Step-by-step explanation:

While, in theory, this could be a step, it would be a pointless one. You would have to eventually rearrange the pieces, but now there would be more of them.

Hope this helps!

4 0
3 years ago
Please help ASAP! This is due by 2:15!! A store sold a case of candles for $17.85 that had been marked up by 110%. What was the
VMariaS [17]

Answer:

the original price would be <u>16.605.</u>

Step-by-step explanation:

4 0
3 years ago
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawin
lys-0071 [83]

Answer:

The probability of drawing exactly one blue marble is 15 over 32

Step-by-step explanation:

did test

5 0
3 years ago
Which of the following expressions is equivalent to xy^3?<br> (options in the pic)
Alex

Answer:

A

Step-by-step explanation:

{xy}^{3}

means that xy is being multiplied with itself thrice.

Hence,

xy \times xy \times xy

5 0
3 years ago
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