Answer:
The equation of the boundary of the region is (x+2)² + (y-1)² = 25
Step-by-step explanation:
The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.
The boundary of the region is a circle with center (-2,1) and radius 5.
The equation of the circle with center (h,k) and radius r is given by
(x-h)²+(y-k)²=r²
The equation of the circle with center (-2,1) and radius 5 is given by
(x+2)²+(y-1)²=5²=25
(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.
Let the length of the garden be x and the width of the garden be y.
x*y = 108
2x + 2y = 48 giving x + y = 24 or y = 24 - x
substitute the second equation into the first,
x*(24-x) = 108
24x - x^2 = 108
x^2 - 24x + 108 = 0
(x-18)(x-6) = 0
So, x = 18 or x = 6.
But if x = 18, y = 6 and if x = 6, y = 18 so both solutions are actually the same with just the width and length swapped. So, your garden is 18 meters by 6 meters.
Answer:
see explanation
Step-by-step explanation:
Using the Section formula, then
=
=
= ![\frac{19}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B7%7D)
and
=
=
=
= 7
Hence
P = (
, 7 )
Answer: the last one
Step-by-step explanation:
Because it has a similar number in the x variable. If it didn’t have the same number in the x variable it would be a function.