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12345 [234]
3 years ago
13

Find the midpoint of A and B where A has coordinates (2,9)

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

(\dfrac{9}{2}, \dfrac{13}{2})

Step-by-step explanation:

The coordinates of A = (2,9)

The coordinates of B = (7,4)

Let M (x,y) be the mid point of A and B.

M(x,y)=(\dfrac{x_1+x_2}{2}),(\dfrac{y_1+y_2}{2})\\\\=\dfrac{2+7}{2}, \dfrac{9+4}{2}\\\\=(\dfrac{9}{2}, \dfrac{13}{2})

So, the coordinates of mid point of A and B is (\dfrac{9}{2}, \dfrac{13}{2}).

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I’ll give brainliest
Alex

Answer:

84

Step-by-step explanation:

x = number of girls

The total for boys is 2x * 81 and for girls it would be 90x

Therefore, the equation goes like this:

2x * 81 + 90x

Then simplify, and set to equal 3x...

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Which is the same as

x = 84

Thank me later :)

8 0
3 years ago
Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul
natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

\bf B=\displaystyle\frac{L}{4\pi d^2}

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of  Alpha Centauri A is

\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728

According to the inverse square law for light intensity

\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}

where

\bf I_1= light intensity at distance \bf d_1  

\bf I_2= light intensity at distance \bf d_2  

Let \bf d_2  be the distance we would have to place the 50-watt bulb, then replacing in the formula

\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST Which set of ordered pairs represents a function?
jenyasd209 [6]

Answer:

the 2nd on (B)

Step-by-step explanation:

The x does not repeat

4 0
3 years ago
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3 years ago
Find the value of x. (4x-101) (2x+3)<br> A. 31<br> B.107<br> C.52<br> D.46
puteri [66]

(4x−101)(2x+3)

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2 years ago
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