Mathematics: Given (11,2) and (x,−4), find all x such that the distance between these two points is 10. Separate multiple answers with a comma.

Given (11,2) and (x,−4), find all x such that

Ответ:

angtrevv

17.04.2021

Mathematics

x = 3, 19

Step-by-step explanation:

Given

Two points i.e. $(11,2)\ \text{and}\ (x,-4)$ are given

Distance between them is 10 units

Distance is given by the distance formula

$\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between two points is

$\Rightarrow 10=\sqrt{(x-11)^2+(-4-2)^2}$

Squaring both sides

$\Rightarrow 100=(x-11)^2+(-6)^2\\\Rightarrow 100=x^2+121-22x+36\\\Rightarrow x^2-22x+57=0\\\Rightarrow x^2-19x-3x+57=0\\\Rightarrow x(x-19)-3(x-19)=0\\\Rightarrow (x-19)(x-3)=0$

i.e. $x\ \text{can be }\ x=3\ or\ 19$

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Ответ:

ashtonbillups

25.06.2022

Mathematics

Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.

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Given (11,2) and (x,−4), find all x such that the distance between these two points is 10. Separate multiple answers with a comma.

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