The endpoints of AB are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1 The coordinate of point P is

Answer and Step-by-step explanation:

Sol: the ratio formula is

x-x1/x2-x = ratio     and    y-y1/ y2-y= ratio

x-(-7)/0-x=2/1          and    y-17/0-y=2/1

x+7=2(-x)                   and   y-17 = -2y

x+2x=-7                    and y+2y =17

3x=-7                       and 3y = 17

x=-7/3                   and y= 17/3

coordinates of point p that partition the segment in ratio is (-7/3, 17/3)

The midpoint formula is:

M= (x1+x2/2,        y1+y2/2)

  = (-7+0/2,          17+0/2)

   = (-7/2,           17/2) are the midpoint of AB.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

$79500

step-by-step explanation: