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3 years ago

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

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The lengths of two sides of a triangle are shown below:

Feliz [49]

Answer:

Part A) $(3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18$

Part B) $(10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15$

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2 years ago

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

MrMuchimi

Answer:

3x+y=-31

Step-by-step explanation:

$4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}$

Slope of perpendicular line is -3.

$y=-3x+b$

Sub in the point (10, -1)

$-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31$

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3 years ago

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p

posledela

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

$\displaystyle \frac{4}{52}=\frac{1}{13}$

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

$\displaystyle \frac{3}{51}=\frac{1}{17}$

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

$\displaystyle \frac{2}{50}=\frac{1}{25}$

Finally, the probability of getting the remaining ace out of the 49 cards is:

$\displaystyle \frac{1}{49}$

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

$\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}$

$\displaystyle P= \frac{1}{270,725}$

P=0.0000037

P=0.00037%

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2 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi

blsea [12.9K]

Answer:

In a nutshell, $g(x) = x+2$ .

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .

In a nutshell, $g(x) = x+2$ .

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3 years ago

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?​

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?