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jok3333 [9.3K]
3 years ago
13

What is the distance between the points (4, -5) and 2, -1) ?

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0
\sqrt{ (2 - 4)^{2} + (-1 + 5 )^{2} } = \sqrt{4 + 16} =  \sqrt{20} ≈ 4.47 ;
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Triangle PQR has vertices P(4,-1),Q(-2,7), and R(9,9). Find an equation of the median and altitude from R.
Reil [10]
If we are drawing altitude from R the PQ will be base of this triangle. So we can say Median from R will cut on Midpoint of PQ. So firstly we will find mid point of PQ Which is S given as below:
P(4,-1) , Q (-2,7)

Let Co-ordinate of S is (x,y)
So x =  \frac{x_1+x_2}{2}
x =  \frac{4-2}{2} =  \frac{2}{2} = 1

y =  \frac{y_1+y_2}{2}
y =  \frac{-1+7}{2} =  \frac{6}{2}= 3
So midpoint of PQ is S(1,3).

Now we can find equation of RS
Co-ordinate of R is (9,9) and and S is (1,3).

In general equation of line from two point (x_1 , y_1) and (x_2,y_2) is
(y-y_1) =  \frac{y_2-y_1}{x__2-x_1}(x-x_1)

So equation of RS is

(y-9) =  \frac{9-3}{9-1} (x-1)
(y-9) =  \frac{6}{8}(x-1)
8(y-9) = 6(x-1)
8y-72 = 6x - 6
-72+6 = 6x - 8y
-66 = 6x-8y

So the equation of median is 6x - 8y = -66

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3 years ago
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How does a person become a citizen of the united States?
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To become a citizen at birth, a person must: be born in the U.S. or in certain territories or outlying possessions of the United States, that are subject to the jurisdiction of the United States. Have a parent or parents who were citizens at the time of the persons birth.
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3 blue 2pink 1red or 3blue 2red 1pink
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4 years ago
#MathHelp HelpPlease
Ivenika [448]
The correct answer is:  [C]:  " c² <span>− 16 " .
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3 years ago
Need help ASAP !!!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B95%20%5Ctimes%2019%20%5Ctimes%205%7D%20" id="TexFormula
dimulka [17.4K]

Answer:

the answer is 9025

Step-by-step explanation:

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3 years ago
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