Answer:

Step-by-step explanation:
The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression 
In the problem given coordinate points are
(0, a) and (a, 0).
Thus, distance between these points are given by

Thus , expression
gives the distance between point (0, a) and point (a, 0) on a coordinate grid.
Answer: The function is negative for all real values of x.where
x < -2.
Step-by-step explanation:
Because the values -4 and -6 are less than -2 which is the basis of the statement highlighted as the right one.
Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r =
= 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805