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3 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics

1 answer:

AfilCa [17]3 years ago

7 0

Answer:

y+7= -6/5(x+3)

Step-by-step explanation:

Point slope form for a line is given by

y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line

y - -7 = -6/5(x - -3)

y+7= -6/5(x+3)

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H E L P!!!!!!!!!!!!!!!!!!!

LenaWriter [7]

Answer:

Step-by-step explanation:

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3 years ago

PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

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3 years ago

Stickers come in packs of 5. Max buys 12 packs. He gave his three friends some stickers. They each receive the same number. He h

Butoxors [25]

Answer: 11 stickers each

Step-by-step explanation:

given data:

packs of stickers bought by mark = 12 ( 5 ) = 60 stickers

no of stickers left with mark = 27

= Total no of stickers – stickers remaining with mark

= 60 – 27

= 33 stickers

he gave his 3 friends equal number of stickers.

3x = 33

x = 11

number of stickers received by each friend is 11

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For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 3

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It takes the car 2 hours to travel 140 miles.

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3 years ago

Question 16 of 25

kondor19780726 [428]

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

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3 years ago

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