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3 years ago

Solve the formula for the specific variable Z=x-y/3 Y=____

Mathematics

1 answer:

defon3 years ago

7 0

Answer:

-3(z-x) = y

Step-by-step explanation:

Z=x-y/3

Solve for y

Subtract x from each side

z-x = x- y/3 -x

z-x = -y/3

Multiply each side by -3

-3(z-x) = -y/3 * -3

-3(z-x) = y

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Y=-2 y=3x+1 in graph

Airida [17]

Answer:

The solution of the system is x=-1, y=-2

Step-by-step explanation:

we have

$y=-2$ ----> equation A

$y=3x+1$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The intersection point is (-1,-2)

see the attached figure

therefore

The solution of the system is x=-1, y=-2

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3 years ago

If you have 3.4 dozen eggs, how many eggs do you have?

xxMikexx [17]

Answer:

2 eggs

Step-by-step explanation:

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3 years ago

Rationalise 2 divided by 2 square root 3

ElenaW [278]

Answer:

$\displaystyle \frac{\sqrt{3}}{3}$

Step-by-step explanation:

$\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}$

I am joyous to assist you at any time.

5 0

3 years ago

What is the polar form of -3+ v3i?

Softa [21]

z=-3+√3i
a=-3,b=√3

$\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}$

$\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}$

$\\ \rm\Rrightarrow r=\sqrt{9+3}$

$\\ \rm\Rrightarrow r=\sqrt{12}$

$\\ \rm\Rrightarrow r=2\sqrt{3}$

Find theta

$\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})$

$\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})$

$\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})$

$\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}$

Polar form

$\\ \rm\Rrightarrow r(cos\theta+isin\theta)$

$\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})$

7 0

2 years ago

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

<u>Given:</u>

Before the deposit, her bank account balance is -25.36.
She has deposited $25.36 into her bank account.

<u>Solve:</u>

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0

3 years ago