the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
the answer to this question would be 12
Answer 420.
a, is the first term. d is difference.
Since this is an arithmetic progression, I use this formula.
Un = nth term
Sn = sum of terms.
First find the number of terms, which is 20.
Then use the second formula to find the sum.
Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;

Where
represents the central angle and r represents the radius
By substituting
and r = 3
becomes



square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for 
So,
becomes

square units
Hence, the area of the sector in the attached figure is
or 9.42 square units
The answer to your question is "C. 4 feet/ 1 second."
When the rate has a quantity of 1, it is a unit rate. So if the rate is 4 feet to 1 second (or four feet per second), it would be considered a unit rate.