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love history [14]
3 years ago
12

10 and three over 4-71 over for

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

this makes no sence

Step-by-step explanation:

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HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
I need to find the linear function
makkiz [27]

Answer:

y = \frac{1}{2} x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (10,12) ← 2 ordered pairs from the table

m = \frac{12-8}{10-2} = \frac{4}{8} = \frac{1}{2}

y = \frac{1}{2} x + c ← is the partial equation

to find c substitute any ordered pair into the partial equation

using (6, 10 ), then

10 = 3 + c ⇒ c = 10 - 3 = 7

y = \frac{1}{2} x + 7 ← linear equation


4 0
3 years ago
the atomic number and atomic weight of chlorine element is 17 and 35 respectively. Calculate the number of proton, neutron and e
grin007 [14]

A chlorine nucleus will contain: Number of protons Z = 17. Number of protons + neutrons A = 35. Number of neutrons N = 35 - 17 = 18.

4 0
3 years ago
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8-5x =2x + 20 <br> Simplify<br> I’ll give brainliest
kobusy [5.1K]

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

6 0
3 years ago
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The morning temperature in northern Canada was −28.9∘ F. The temperature rose 33.2°F during the day before reaching its high tem
My name is Ann [436]

The high temperature for the day was 4.3°F

6 0
3 years ago
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