What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

8 0

Answer:

y = \frac{4}{5}x + \frac{32}{5}

Step-by-step explanation:

(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , 8)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

$= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}$

m = 4/5 ;

Equation of the line: y - y₁ = m(x - x₁)

$y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}$

sveta [45]3 years ago

3 0

Answer:

Step-by-step explanation:

4-9= -5

2-3 = -1

.....

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The number of ways 4 persons can be selected from total 12+15 = 27 persons is:

27C4 $=\binom{27}{4}=\frac{27!}{(27-4)!4!}=\frac{27!}{23! \times 4!} =\frac{27\times26\times25\times24\times23!}{23! \times 4\times3\times2\times1}$

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Therefore, the probability of randomly selecting four person committee consisting entirely of women from a pool of 12 men and 15 women is:

$\frac{\binom{15}{4}}{\binom{27}{4}} =\frac{1365}{17550}=0.0778$

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3 years ago

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If g^2+1/g^2=51, find the positive value of g-1/g

Sedaia [141]

Answer:

Step-by-step explanation:

Note that

(g - $\frac{1}{g}$ )² = g² - 2 + $\frac{1}{g^2}$ = 51 - 2 = 49