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2 years ago

Given x(y + 2) = 3x + y, express y in terms of x.

Mathematics

1 answer:

vodka [1.7K]2 years ago

6 0

Answer:

y = $\frac{x}{x-1}$

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = $\frac{x}{x-1}$

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If the length of FG is 6 units, what is the length of EH?

QveST [7]

FG goes through the center of the circle, so FG is diameter.

$d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3$

EH=r=3

Answer: EH=3

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2 years ago

In 4 days, the price of a share of stock rose 3/4 of a point. On average, what was the change in stock price everyday

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Step-by-step explanation:

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2 years ago

The base of a pyramid has n sides.<br> Write an EXPRESSION for the number of faces of the pyramid.

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2 years ago

Read 2 more answers

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

sladkih [1.3K]

Answer:

10.17 seconds

Step-by-step explanation:

substitute y=0 into the equation

0=-16x²+153x+98

then use the quadratic formula

a = -16

b= 153

c = 98

Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):

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2 years ago

5x^2-2x=2<br>help plsmmm

Yuki888 [10]

Answer:

Presumably you're solving for x here? Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

$5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\$

let's solve it. First we'll multiply both sides by five, making the first term a perfect square:

$25x^2 - 10x - 10 = 0\\$

Now we'll add 11 to both sides:

$25x^2 - 10x + 1 = 11\\$

Which makes the left side a perfect square:

$(5x - 1)^2 = 11$

And now we can solve for x:

$(5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}$

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

$x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86$ $x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46$

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2 years ago

Given x(y + 2) = 3x + y, express y in terms of x.​

Given x(y + 2) = 3x + y, express y in terms of x.