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VashaNatasha [74]
3 years ago
6

Ty-qy+p=r solve for y ​

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

\huge\boxed{y= \frac{r-p}{t-q}}

Step-by-step explanation:

In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.

Step 1: Subtract p from both sides of the equation.

  • ty - qy + p - p = r
  • ty-qy=r - p  

Step 2: Factor out the common term y from the left side

  • y( t-q ) = r-p

Step 3: Divide both sides by t-q

  • \frac{y(t-q)}{t-q} = \frac{r-p}{t-q}
  • y = \frac{r-p}{ t-q}

Hope this helped!

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Simplify<br> (2x-³y⁴)³(x³+y⁰)÷(4xy-²)³​
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

-4x³(-2x³)

8x⁶

(6⁵)/(6⁴)

6

(3x³)³

27x⁹

(9¹²)/(9⁸)

9⁴

(x²)(x³)

x⁵

(x⁴)/(x²)

x²

-x(-x)(x)

x³

(x³y²)/(x³y⁴)

(1)/(y²)

-2x(x²)(-3x)

6x⁴

(9x⁷)/(3x⁶)

3x

3x²(x²)(-6)

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(x⁴)(x³)

x⁷

(12x⁵)/(36x)

x⁴/3

(x⁴y³)/(x⁴y)

y²

(-2x³)(-4x²)

8x⁵

(-3x²)³

-27x⁶

(x³y⁵)/(xy²)

x²y³

2x³(10x)³

2000x⁶

(x⁷y²)/(x⁴y²)

x³

x⁻⁴

1/x⁴

(-21x⁵y²)/(7x⁴y⁵)

-(3x)/y³

3x⁻³

3/x³

(32x³y²z⁵)/(-8xyz²)

-4x²yz³

...

x⁴y⁴

(4x⁷/7y²)²

(16x¹⁴)/(49y⁴)

...

8x³

4⁻⁴

1/(4⁴) or 1/256

...

a⁵

8⁻²

1/(8²) or 1/64

...

2c⁷

x⁻²

1/x²

...

9x²

x⁻³

1/x³

...

a⁴

x⁻⁴

1/x⁴

...

4c⁵

x²y⁻³

(x²)/(y³)

When multiplying monomials with the same base, ___________ the exponents

add

x³y⁻²

(x³)/(y²)

When dividing monomials with the same base, ______________ the exponents

subtract

x²y³z⁻⁴

(x²y³)/(z⁴)

When raising a power to a power, ________________ the exponents

multiply

x²y⁻³z⁴

(x²z⁴)/(y³)

x⁻²y⁻³

1/(x²y³)

A base raised to a zero exponent equals________________

one

(2m²)(2m³)

4m⁵

(x/y)⁻¹

y/x

4r⁻³(2r²)

8÷r

(x²/y²)⁻¹

y²/x²

2x³y⁻³(2x⁻¹y³)

4x²

(x³/y³)⁻¹

y³/x³

2y²(3x)

6y²x

(x/y)⁻²

y²/x²

4a³b²(3a⁻⁴b⁻³)

12÷(ab)

(x²/y²)⁻³

y⁶/x⁶

4r⁰

4

(2/3)⁻²

9/4

(4xy)⁻¹

1÷(4xy)

(4/5)⁻²

25/16

(3/4)⁻²

16/9

(3/4)⁻¹

4/3

(x³/x⁻⁶)

x⁹

(x²/x⁻⁵)

x⁷

x⁰

1

y⁰

1

x²y⁰

x²

x²y³z⁰

x²y³

y⁰

1

100⁰

1

(-99)⁰

1

x⁰(x⁴)(x⁻⁶)

1/x²

(x⁻³)/(x⁴)

1/x⁷

(x⁻⁴)/(x⁵)

1/x⁹

(4x³/2x⁵)⁰

1

(x⁻⁵y⁴)/(z⁻²)

(y⁴z²)/x⁵

(15x⁶y⁻⁹)/(5xy⁻¹¹)

3x⁵y²

(48x⁶y⁷z⁵)/(-6xy⁵z⁶)

-(8x⁵y²)/z

Is it a monomial? 11

Yes; 11 is a real number and an example of a constant.

Is it a monomial? a - b

No; this is the difference, not the product, of two variables.

Is it a monomial? p²/r²

No; this is the quotient, not the product, of two variables.

Is it a monomial? y

Yes; single variables are monomials.

Is it a monomial? j³k

Yes; this is the product of two variables.

Is it a monomial? 2a + 3b

No; this is the sum of two monomials.

Simplify x²(x³)(x⁶)

x¹¹

Simplify x(x²)(x⁷)

x¹⁰

Simplify (y²z)(yz²)

y³z³

Simplify (y²z²)(y³z)

y⁵z³

Simplify (a²b⁴)(a²b⁴)

a⁴b⁸

Simplify (ab²)(a³b²)

a⁴b⁴

Simplify (2x²)(3x⁵)

6x⁷

Simplify (5x⁷)(4x²)

20x⁹

Simplify (4xy³)(3x³y⁵)

12x⁴y⁸

Simplify (7x⁵y²)(x²y³)

7x⁷y⁵

Simplify (-5x³)(3x⁸)

-15x¹¹

Simplify (-2x⁴y)(-4xy)

8x⁵y²

Simplify (10²)³

10⁶ or 1,000,000

Simplify (x³)¹²

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Simplify (-6x)²

36x²

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4x⁶y⁸

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x⁷

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x²y²

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18x⁴

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-15x⁶y

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8a⁴b⁴c⁴

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-8x⁸y

(-15xy⁴)(-xy³)

15x²y⁷

(-xy)³(xz)

-x⁴y³z

(-4x²y)²(-½xy²)

-8x⁵y⁴

(0.2x²y³)²

0.04x⁴y⁶

(½xy³)²

¼x²y⁶

(0.4x³)³

0.064x⁹

[(x²)²]²

x⁸

[(x²)³]⁴

x²⁴

Find the area of a rectangle whose length is 6x²y⁴ and width is 3xy²

18x³y⁶

Find the area of a triangle whose base is 4x²y and height is 6xy³

12x³y⁴

Find the volume of a cube whose side length is 3x².

27x⁶

Find the volume of a rectangular prism whose side lengths are x³y, xy³, and y.

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