All categories

3 years ago

Write -3r+3u in polar form PLEASE HELP

1 answer:

6 0

We have that
<span> -3r+3u
</span>
Step 1
<span>Use the distance formula to find the radius
</span><span>r = √(x^2 + y^2)
(x,y)----------> (</span>-3,3)
r= √(-3^2 + 3^2)=√18=3√2

Step 2
Use the tangent to find the angle
θ = arctan(y/x)
θ = arcTan(3/-3)= -45°-------> II Quadrant
then
θ=180-45=135°

Step 3
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)

the answer is (3√2, 135°)

You might be interested in

PLEASE HELP!

IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r = 7 cm

$\sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}$

$\sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3$

$\sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}$

= 4*3.14 * 7 * 7

= 615.44 cm²

b) r= 8.4 cm

$Volume = \dfrac{4}{3}\pi r^3$

$\sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3$

Surface area = 4*3.14*8.4*8.4

= 887.04 cm²

<h3>Hemisphere:</h3>

a) r = 6 cm

$\sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}$

$\sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3$

$\sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}$ $\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}$

= 3 * 3.14 * 6 * 6

= 339.12 cm²

3 0

2 years ago

Multiply by 4, then divide by 2 First term: 60

harina [27]

IT IS SO FIRST YOU WANNA GO TO THIS LINK IT WILL SHOW YOU EVERY THING HERE IT IS DEz.........................................................................NUTS

3 0

3 years ago

I have 1 hundreds, 4 ones, 2 tens, and 1 tenths. What number am I?

DaniilM [7]

Since it reads 1 hundreds, that means 100. 4 ones mean 4 * 1, which is 4. 2 tens means 2 * 10, which is 20. Add those together and you get 124. Where it reads "1 tenth", that means 0.1
Therefore, the number is 124.1

6 0

3 years ago

16 increased by twice a munber is -24

dangina [55]

We can form this algebraic equation to work the equation out:

16 + 2x = -24
2x = -40
x - 20

Hope I helped.

8 0

3 years ago

Given that f(x) = 6x + 2 and g(x) = solve for g(f(1)).

bixtya [17]

$f(x)=6x+2\\\\
g(f(1))=6*1+2=6+2=8\\\\
Solution\ is \ g(x)=8$

4 0

3 years ago