What is the equation of this line?

Mathematics

2 answers:

astraxan [27]2 years ago

6 0

Y=3/4x-3 because none of the others make sense

Degger [83]2 years ago

4 0

Answer:

y = 3/4x-3

Step-by-step explanation:

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¿que es una division exacta de numeros enteros?

mixas84 [53]

Answer:

La división de dos números enteros es igual al valor absoluto del cociente de los valores absolutos entre el dividendo y el divisor, y tiene de signo, el que se obtiene de la aplicación de la regla de los signos.

8 0

3 years ago

your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac

Serga [27]

<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e. $y= 0.2 \times x$

i.e. $y=0.2x$ (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

$y=0.2(7)=1.4$

Hence, the total change in gas price in 7 days = $1.4

8 0

3 years ago

Write -3+4i in the form r(cosx+isinx)

Zanzabum

$-3+4i$ is a complex number that satisfies

$\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}$

The last equation immediately tells you that $r=5$ .

So you have

$\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}$

Dividing the second equation by the first, you end up with

$\dfrac{\sin x}{\cos x}=\tan x=\dfrac{\dfrac45}{-\dfrac35}=-\dfrac43$

Because the argument's cosine is negative and its sine is positive, you know that $\dfrac\pi2$ . This is important to know because it's only the case that $y=\tan x\implies \arctan y=x$ whenever $-\dfrac\pi2$ . The inverse doesn't exist otherwise.

However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by $\pi$ , we have

$\tan(x-\pi)=y\implies x=\pi+\arctan y$

All this to say

$\tan x=-\dfrac43\implies x=\pi+\arctan\left(-\dfrac43\right)\approx2.2143\text{ rad}\approx126.9^\circ$

So, $-3+4i=5(\cos126.9^\circ+i\sin126.9^\circ)$ .