To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Answer:
The factors can be calculated in following steps;
Step-by-step explanation:
Answer:
line l║line m
Step-by-step explanation:
See the diagram first.
Statement:
1. ∠ 2 and ∠ 5 are supplementary
Reason:
It is given
Statement:
2. ∠ 3 = ∠ 2
Reason:
They are opposite angles.
Statement:
3. ∠ 3 and ∠ 5 are supplementary
Reason:
As ∠ 3 = ∠ 2
Statement:
4. line l is parallel to line m
Reason:
Consecutive interior angles ∠ 3 and ∠ 5 are supplementary. (Answer)
