The formula for a circle with center (h,k) and radius (r) is as follows:
(x – h)² + (y – k)² = r²
If the diameter of the circle is 10, we know that the radius of the circle must be equal to 5. Insert any known equations into the formula above:
(x – (-3))² + (y – 2)² = 5²
Simplify both sides of the equation:
(x + 3)² + (y – 2)² = 25
This is the equation of a circle with the given measurements.
I hope this helps!
Alternatively, recall that if
, then
, and so
Take
, so that
, and we have the original limit. So the limit is equivalent to the value of
, i.e.
Answer:
the mid point formula for this is x+x/2 and y+y/ 2 so #9would be 1/2, 3/2
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
The Answer is-
D
Explanation-
The Place Of the 0 In 10 Is 1, So we move 1 digit
To that side.
