Mathematics, 08.01.2020 22:31 davidoj13

Find the distance between the point p(0, 0) and the line y = −x + 4 using the distance formula

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Answer from: chrisraptorofficial

The distance between the point P(0, 0) and the line y = −x + 4 is $2\sqrt{2}$ units.

Step-by-step explanation:

Distance between the point (x_0,y_0) and the line ax+by+c=0 is

$d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The given equation is

y=-x+4

Taking all terms on the left side.

x+y-4=0

The distance between the point (0,0) and the line x+y-4=0 is

$d=\dfrac{|0+0-4|}{\sqrt{1^2+1^2}}$

$d=\dfrac{|-4|}{\sqrt{2}}$

$d=\dfrac{4}{\sqrt{2}}$

Rationalize denominator.

$d=\dfrac{4}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}$

$d=\dfrac{4\sqrt{2}}{2}$

$d=2\sqrt{2}$

Therefore, the distance between the point P(0, 0) and the line y = −x + 4 is $2\sqrt{2}$ units.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

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Find the distance between the point p(0, 0) and the line y = −x + 4 using the distance formula...

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