How do I solve for y in this equation? 3xy-28=16x

Answers

Answer 1

Answer:

The value of y is 16/3 + 28/3x

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S

Given:

3xy-28=16x

3xy= 16x + 28

y = 16x/ 3x + 28/3x

y= 16/3 + 28/3x

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Answer 2

Answer: $3xy-28=16x$

$3xy=16x+28$ $Add \ 28 \ to \ both \ sides$

$xy= (16x+28)/(3)$ $Divide \ both \ sides \ by \ 3$

$xy= (4(4x+7))/(3)$ $Factor \ out \ the \ common \ term \ 4$

$y= (4(4x+7))/(3x)$ $Divide \ both \ sides \ by \ x$

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How many time does three go into 4356

Answers

all we do is divide 4356 by 3
lets do the math :)
4356 ÷ 3 = 1452

Answer = 1452 times
:)

The part of the sphere x2 + y2 + z2 = 16 that lies above the cone z = x2 + y2 . (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > x2 + y2?

Answers

The required, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².

To find the part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y², we can use spherical coordinates. In spherical coordinates, the equations for the sphere and the cone are simpler.

Spherical coordinates are represented as (ρ, θ, φ), where ρ is the radial distance, θ is the azimuthal angle (measured from the positive x-axis in the xy-plane), and φ is the polar angle (measured from the positive z-axis).

For the sphere x² + y² + z² = 16, the spherical representation is:

ρ = 4 (since ρ² = x² + y² + z² = 16)

For the cone z = x² + y², the spherical representation is:

ρ = ρ (since ρ^2 = x² + y²)

Now, to find the part of the sphere that lies above the cone (z > x² + y^2), we need to restrict the values of φ.

When z > x² + y², we have z = ρ cos(φ) > ρ².

Since ρ = 4, we get 4 cos(φ) > 4², which simplifies to cos(φ) > 4.

However, the range of φ in spherical coordinates is 0 ≤ φ ≤ π, which means that the values of φ that satisfy cos(φ) > 4 are not within the valid range.

Therefore, there is no part of the sphere x² + y² + z² = 16 that lies above the cone z = x² + y², where z > x² + y².

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Final answer:

We use the given equations of the sphere and cone and express them in spherical coordinates. The sphere lies on or above the cone when z's value in the sphere equation is greater or equal than z's value in the cone equation. One method is to use spherical coordinates and represent the radius and polar angle in terms of u and v.

Explanation:

The question involves spherical and rectangular coordinates and the relationship between the two. We are given the sphere's equation as x^2 + y^2 + z^2 = 16 and the cone's equation as z = x^2 + y^2. Here's one way to think of the part of the sphere that lies on or above the cone. If we view z=x^2 + y^2 as a function of x and y, the sphere lies above this cone when z's value in the equation of the sphere is greater or equal to the value of z in the cone's equation. To express x, y, and z in terms of u and/or v, you can use a method such as spherical coordinates.

In spherical coordinates, the relationship between spherical and rectangular coordinates can be represented as:

x = r sin θ cos φ
y = r sin θ sin φ
z = r cos θ

Here r, θ, and φ are the radius, polar, and azimuthal angles respectively, which we can let u and v represent. One potential assignment is to let r=u and θ=v, assuming we want only two parameters.

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Given: ∠A and ∠B are complementary angles. m∠A=3x+105 ; m∠B=−6x−39 Prove: m∠B=9° Drag and drop reasons into the boxes to correctly complete the proof. Statement Reason ∠A and ∠B are complementary angles. Given
m∠A=3x+105 ; m∠B=−6x−39 Given
m∠A+m∠B=90° Definition of complementary angles
3x+105−6x−39=90 Substitution Property of Equality
−3x+105−39=90 Simplify.
−3x+66=90 Simplify.
−3x=24
x=−8
m∠B=−6(−8)−39
m∠B=48−39 Simplify.
m∠B=9°

Answers

Answer:

Statement: -3x=90-66

Reason: By subtraction property of equality..

Statement: -3x=24

Reason: By simplification.

Statement: x= $(24)/(-3)$

Reason: By division property of equality.

Statement: $m\angle B= -6(-8)-39$

Reason: By substitution property of equality.

Statement: $m\angle B=9^(\circ)$

Reason: By simplification.

Step-by-step explanation:

Given $\angle A$ and $\angle B$ are complementary angles.

$m\angle A= 3x+105$

$m\angle B=-6x-39$

To prove that $m\angle B=9^(\circ)$

Proof:

1.Statement: $\angle A\; and\; \angle B$ are complementary angles .

Reason: Given .

2.Statement: $m\angle A=3x+105$ ; $m\angle B= -6x-39$

Reason: Given .

3. Statement: $m\angle A+ m\angle B=90^(\circ)$

Reason: By definition of complementary angles.

4.Statement: $3x+105-6x-39=90$

Reason: By substitution property of equality.

5. Statement: $-3x+105-39=90$

Reason: By simplification.

6. Statement: $-3x+66=90$

Reason: By simplification.

7. Statement: $-3x= 90-66$

Reason: By subtraction property of equality .

8.Statement: $-3x=24$

Reason: By simplification.

9.Statement: $x=(24)/(-3)$

Reason : By division property of equality.

10. Statement: x=-8

Reason: By simplification.

11. Statement: $m\angle B= -6(-8)-39$

Reason : By substitution property of equality.

12. Statement: $m\angle B= 48-39$

Reason: By simplification.

13. Statement: $m\angle B=9^(\circ)$

Reason : By simplification.

Hence, $m\angle B= 9^(\circ)$

Hence proved.

Given: $\angle A$ and $\angle B$ are complementary angles.

$m \angle A = 3x+105^\circ$ and $m \angle B = -6x-39^\circ$ .

To prove: $m \angle B = 9^\circ$

Proof:

Statement 1: $\angle A$ and $\angle B$ are complementary angles.

Reason 1: Given

Statement 2: $m \angle A = 3x+105^\circ$ and $m \angle B = -6x-39^\circ$ .

Reason 2: Given

Statement 3: $m \angle A + m \angle B = 90^\circ$

Reason 3: Definition of complementary angles.

Statement 4: $3x+105^\circ -6x -39^\circ = 90^\circ$

Reason 4: Substitution property of equality

Statement 5: $-3x+105^\circ-39^\circ = 90^\circ$

Reason 5: Simplification

Statement 6: $-3x+66^\circ = 90^\circ$

Reason 6: Simplification

Statement 7: $-3x = 24^\circ$

Reason 7: Simplification

Statement 8: $x = -8$

Reason 8: Multiplication property of equality

Statement 9: $m \angle B = -6(-8) - 39^\circ$

Reason 9: Substituting the value of 'x'

Statement 10: $m \angle B = 48-39 = 9^\circ$

Reason 10: Simplification

Farmer Fred has 200 sheep on his farm. he sells 40 of them. What percentage of his sheep does he have left?

Answers

Each 10 sheep count as 5 percent so that would 80 percent of his sheep left

Use the graph below for this question:graph of parabola going through 0, 3 and 2, negative 5.

What is the average rate of change from x = 0 to x = 2? (1 point)

−4

−8

1

5

Answers

Answer:

It should be the 2nd one

Step-by-step explanation:

3rd one is the correct answer for your queation

Toilet rolls come in packs of 4 and 9The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working