X²-y²=5
converting the above into polar form we shall have:
x=r cosθ; y=r sinθ
thus
x²-y²=5 will be written as:
(r cosθ)²-(r sinθ)²=5
r² cos²θ- r² sin²θ=5
factoring r² out we get:
r²(cos²θ- sin²θ)=5
using trigonometric identity:
cos²θ- sin²θ=cos(2θ)
thus the expression will be:
r²(cos (2θ))=5
r²=5/cos (2θ)
hence;
r=√[5/cos (2θ)]
The ratio would be 4:6 because there are 6 number in total and 4 of them are odd numbers.
X=10. Add 100 to the other side to get x by itself
point slope form: y-y1=m(x-x1)
coordinate (1,-7):
point y1--7
point x1=1
slope (m)=-23
input into equation:
y-(-7)=-23(x-1)
convert to slope intercept form:
-*-=+ so 7 becomes +7
y+7
distribute -23 in -23(x-1) using the rule: a(b+c)=ab+ac
-23x+23
refine
y+7=-23x+23
perform some inverse operations:
y+7=-23x+23
y+7=-23x+23-7
y=-23x+16
therefore, D. y+7=−23(x−1) equals y=-23x+16 in slope-intercept form
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.