Answer:
opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.
Step-by-step explanation:
There should be sixteen branches. There are four possible suits for the first card, hearts, diamonds, clubs, spades. Then each of those four branches has four branches for the second card drawn. 4*4 = 16.
R(9,0)
S(8,-4)
T(7,4)
V(6,0)
Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
= (x² - 9)(x - 5) ← distribute
= x³ - 5x² - 9x + 45