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DiKsa [7]
3 years ago
5

How many solutions does the system of linear equations have? y = 4x - 7 y= x - 3

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer: 1

1

Step-by-step explanation:

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Softa [21]
  • z=-3+√3i
  • a=-3,b=√3

So

\\ \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

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

7 0
2 years ago
Which of the expressions are equivalent to the one below? 3• (2 + 6) + 4.5
Stella [2.4K]

Answer:

Option D is correct

28.5=28.5

6 0
3 years ago
Your community is having a carnival. Admission into the carnival is $6 and
r-ruslan [8.4K]
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3 years ago
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How to write (-2,-1) and (2,7) in y=mx+b form
nasty-shy [4]

y = 2x + 3

the equation of a line in slope-intercept form is

y = mx + b ( m is the slope and b the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (2, 7)

m = \frac{7+1}{2+2} = \frac{8}{4} = 2

y = 2x + b ← is the partial equation

to find b substitute either of the 2 points into the partial equation

using (2, 7 ), then

7 = 4 + b ⇒ b = 7 - 4 = 3

y = 2x + 3 ← in slope-intercept form


5 0
4 years ago
If you wanted a 40 foot tree in your yard, how much faster would a poplar, which grows 8 feet per year, reach that goal than a r
Verizon [17]

Answer:

Not totally sure if i'm reading the question right buuuut;

the answer is (I think) a poplar would reach 40 feet high in 5 years, while the red maple would reach the goal in 8.

Step-by-step explanation:

using division, 40/8 = 5 years

40/ 5 = 8 years.

like I said, not positive I read the question correctly but I hope this helps xx have a nice day :)

5 0
4 years ago
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