9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
6(x + 2) = 2(x + 10)
6x + 12 = 2x + 20
6x - 2x = -12 + 20
4x = 8
x = 8/4
x = 2
3(y - 4) + 2 = 5y - 28
3y - 12 + 2 = 5y - 28
3y -10 = 5y - 28
3y - 5y = 10 - 28
-2y = -18
y = -18/-2
y = 9
5(2z - 3) - 3z = 3(z + 3)
10z - 15 - 3z = 3z + 9
7z - 15 = 3z + 9
7z - 3z = 15 + 9
4z = 24
z = 24/4
z = 6
Answer:
8/pi
Step-by-step explanation:
To find the rate of change from 0 to pi/2 we need the values at 0 and pi/2
f(0) = -4
f(pi/2) = 0
rate of change = change in f(x)/ change in x
= (f(x2) -f(x1))/( x2-x1)
= (0--4) / (pi/2 - 0)
= (0+4) / (pi/2)
= 4 / (pi/2)
= 8/pi
So the answer would be x=1 and y=-2. Hope this helps
Answer:
SUE: (18-x)-5
TONY: (18+x) / 
Sue has 18 sweets
Tony also has 18 sweets
Sue gives x sweets to Tony
Sue then eats 5 of her sweets
Tony then eats half of his sweets
(18-x)-5=(18+x)/ 1/2
x= -7.6
