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2 years ago

Isolate the variable on the following problem. show your work.-2=-4+x

Mathematics

2 answers:

egoroff_w [7]2 years ago

6 0

Answer:

$x = 2$

Step-by-step explanation:

First we must add 4 to both sides.

$-2 = -4 + x$

+4 +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

$2 = x$

x is now isolated and we also have the solution for it.

$x = 2$

blsea [12.9K]2 years ago

5 0

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x

-2+4=-4+4+x

2=x

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3 years ago

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3 years ago

What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

_____

Comment on rational expressions

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

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3 years ago

Solve the equation for an ellipse for y. Assume that y > 0. y^2/a^2 + x^2/b^2 = 1

In-s [12.5K]

Multiply each term by a^2b^2:-

b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2 = a^2b^2 - a^2x^2
Now divide both sides by b^2

y^2 = a^2 - a^2x^2 / b^2 = a^2 (1 - x^2/b^2)

take positive square root ( because y > 0)

y = a sqrt(1 - x^2/b^2)

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3 years ago

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Isolate the variable on the following problem. show your work.-2=-4+x​

Isolate the variable on the following problem. show your work.-2=-4+x