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3 years ago

3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y

1 answer:

6 0

*Given
3(x+y)=y
y is not equal to zero

*Solution

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,

3(x+y) = y
    3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

   3x = -2y

Dividing both sides of the equation by 3,

   x = (-2/3)y

Dividing both sides of the equation by y,

x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.

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Subtract one-third from 8 times b

steposvetlana [31]

i think the answer is 1/3 from 8x 6 =-46.7 i think

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3 years ago

The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5

Andrew [12]

Answer:

Step-by-step explanation:

This is a right triangle as shown by the right angle.

The side opposite the right angle is the hypotenuse, which is 9.
The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

$sin\theta=\frac{opposite}{hypotenuse}$

Since, we need angle A, $\theta$ is A, opposite side is 3, and hypotenuse is 9, we substitute:

$sinA=\frac{3}{9}\\sinA=\frac{1}{3}$

To solve for the angle, we use our calculator and find the inverse sin of $\frac{1}{3}$ :

$A=sin^{-1}(\frac{1}{3})\\A=19.47$

Rounding to nearest tenth of a degree:

$A=19.5$

B is the right choice.

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3 years ago

How do you tell time on a clock

dimaraw [331]

Answer:

Each of those dashes are 5 minute for the small hand

and each of those dashes are 1 minutes for the long hand

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2 years ago

Read 2 more answers

(3-4i)(6i+7)-(2-3i)

Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

$\displaystyle \large{- 10i+ 45 - (2 - 3i)} \\ \displaystyle \large{- 10i+ 45 - 2 + 3i}$

Combine like terms.

$\displaystyle \large{43 - 7i}$

5 0

3 years ago

If \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy

tankabanditka [31]

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

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3 years ago