Answer:
The center is the point 
Step-by-step explanation:
we know that
The center of the circle is equal to the midpoint of the endpoints of the diameter
so
The formula to calculate the midpoint between two points is equal to

substitute the values



therefore
The center is the point 
Answer:
Here is the answer
Step-by-step explanation:
Answer:
x= 4
Step-by-step explanation:
4 x 4= 16
Answer:
The distance between Harry’s home and his office? is 15 miles.
Step-by-step explanation:
The speed, distance time formula is:

Given:
Speed (<em>s</em>) = 30 miles/hour
Then the relation between distance and time is:

If Speed was 60 miles/hour the time taken is
hours.
Then the relation between distance and time is:

Use the value of <em>d</em> = 30t in (ii)
<em />
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Determine the distance as follows:

Thus, the distance between Harry’s home and his office? is 15 miles.
Answer:

Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
![\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7Bz%3D4%5B%5Ccos%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5D%7D)
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

Hence, the complex number that has polar coordinate of (4,-45°) is 