Mathematics, 22.08.2019 21:10 jakiyahporter0817

Write an equation of the line containing the given point and perpendicular to the given line. ? (0? ,2? ); 9x+2y=3

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Answer from: Sillydork6872

The required equation is $y=\frac{2}{9}x+2$ .

Step-by-step explanation:

The equation of the given line is

9x+2y=3

If a line is defined as ax+by=c , then slope of the line is

$m=\frac{-a}{b}$

In the given equation a=9 and b=2. Slope of the line is

$m_1=\frac{-9}{2}$

Product of slopes of two perpendicular line is -1.

Let the slope of required line be m_2 .

$m_1\times m_2=-1$

$\frac{-9}{2}\times m_2=-1$

$m_2=\frac{2}{9}$

Slope of required line is $\frac{2}{9}$ and it passes through the point (0,2). It means the y-intercept of the line is 2.

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

Substitute m=2/9 and b=2 in the above equation.

$y=\frac{2}{9}x+2$

Therefore the required equation is $y=\frac{2}{9}x+2$ .

Answer from: Quest

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180° and ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

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

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