Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
Area=(Theta/2) * r^2 This should be it, obviously Theta is your angle and you should use radiants in theory.
Answer:
7.99 or D
Step-by-step explanation:
It is simple addition.
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 2x - 8
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
f(x) = x² + 2(- 1)x + 1 - 1 - 8
= (x - 1)² - 9 ← in vertex form
with vertex = (1, - 9 )
