Refer to the figure shown below.
The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.
Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²
This represents a circle with center at (2,5) and radus = 4.
Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.
Answer:
$0.11
Step-by-step explanation:
That's a question about exponentiation.
Answer:
Kenji is wrong because he does not aply the porperty correctly.
Step-by-step explanation:
A exponetiation has this form:
<em>a </em>is the base
<em>b</em> is the power or exponent
To understand that situation it's important to know a property about exponentiation. When we have a multiplication with the same exponent and diferent bases, the result is the multiplication of the bases with the same exponent. Let's see this above, in mathematical language:
Examples:
Now, we can say why Kenji is wrong. It's easy simplify 
! We know that the result is 
, but Kenji multiplied the bases and added the exponents, that's why he is wrong.
I hope I've helped. ^^
Enjoy your studies! \o/
<h3>Given</h3>
- arc AB of circle O is 1/4 of the circumference
- radius of circle O is 5
- pi is 3.14
<h3>Find</h3>
<h3>Solution</h3>
Since arc AB is 1/4 of the circumference, the central angle AOB will be 1/4 of a circle, so π/2 in radians. The area of a sector is given by
... A = (1/2)r²·θ
where θ is the central angle in radians and r is the radus.
The area is ...
... A = (1/2)·5²·π/2 = 25π/4
... A ≈ 19.625
The area of the sector is about 19.63 square units.
