N+2(2n-5)=20
Distribute
n+4n-10=20
Combine like terms
5n-10=20
Add 10 to both sides
5n=30
Divide both sides by 5
n=6
Final answer: 6
When given two points, use point-slope form
When given a point and the intercept, use slope-intercept form.
When given a point and the slope, use point slope form.
Answer:
we know that
the relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
Θ = tan⁻¹ (y/x)
so
Part a) (2, −2)---------> this point belong to the IV quadrant
r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°
the answer part A) is
(r,Θ)=(√8,315°)
Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°
the answer part B) is
(r,Θ)=(√10,108.43°)
mark me branlest plz hope it helps
Correct Question:
Stan ran 
miles, which was 
fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?
Molly’s work:
Emma’s work:
Alysa’s work:
3 and two-fifths
Maddie’s work:
Answer:
Molly's Work is correct
Step-by-step explanation:
Let S represent distance covered by Stan and M represent the distance covered by Matt;
Given that the distance covered by Stan is miles and it is miles less than that covered by Matt;
This can be represented mathematically as
By substituting for S;
This gives
By collecting like terms
becomes
Reorder
---- This is the correct equation
Solving further to get the distance covered by Matt;
Split fraction
Collect like terms
Add fraction (Take LCM)
Divide Fraction
Hence, the equation of the system is
and the solution is
Molly’s work is correct
