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3 years ago

What is y +4= -6(x + 6) written in standard form?

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

The standard form of the given expression is y = -6x - 40.

Step-by-step explanation:

Here , the given expression is y +4= -6(x + 6)

The above equation represents the line of an equation.

It of the POINT SLOPE FORM : y - y0 = m (x -x0)

Now, the standard form of a line Equation is SLOPE INTERCEPT form:

y = m x + C

Simplifying the given expression, we get,

y +4= -6(x + 6) ⇒ y + 4 = -6x - 36

or, y = -6x - 36 -4

or, y = -6x - 40

It is of the SLOPE INTERCEPT form.

Hence, the standard form of the given expression is y = -6 x - 40.

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2 years ago

What is the distance to the earth’s horizon from point P? Express your answer as a decimal

rewona [7]

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

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Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

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Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

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3 years ago

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2 years ago

Read 2 more answers

a jar contains 5 blue marbles and 3 red marbles. suppose you choose a marble at random and do not replace it. then choose a seco

lina2011 [118]

$\mathbb P(R_1\cap R_2)=\mathbb P(R_2\mid R_1)\mathbb P(R_1)$

The probability of drawing a red marble on the first attempt is

$\mathbb P(R_1)=\dfrac{\dbinom31}{\dbinom51}=\dfrac35$

After the first marble is drawn, and we know it to be red, we're drawing the next marble from a pool with one less marble than before (i.e. conditioning on the event $R_1$ ). So

$\mathbb P(R_2\mid R_1)=\dfrac{\dbinom21}{\dbinom71}=\dfrac27$

And so

$\mathbb P(R_1\cap R_2)=\dfrac35\cdot\dfrac27=\dfrac6{35}$

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3 years ago