Answer:
a) 
, b) 
or 
, c) 
or 
Step-by-step explanation:
a) The function is solved by factorization:
b) The function has the following form:
The roots of the polynomial are found by factorization:
or
c) The function has the following form:
The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:
Answer:
(5, 6 )
Step-by-step explanation:
Using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = B(2, 1) and (x₂, y₂ ) = C(8, 11)
midpoint = [ 0.5(2 + 8), 0.5(1 + 11) ] = (5, 6 )
The difference is 4/5 - 3/8 = 17/40
Answer:
q = -2
Step-by-step explanation:
-2x²-8x = 10 (divide both sides by -2)
x² + 4x = -5 (Apply completing the square method)
x² + 4x + (4/2)²= -5 + (4/2)²
x² + 4x + 2²= -5 + 2² (reduce left hand side using a²+2ab+b² = (a+b)² )
(x+2)² = -5 +4
(x+2)² = -1
(x+2)² + 1 = 0 (multiply both sides by -2)
(-2)(x+2)² + 1 (-2) = 0
-2[x - (-2)]² + (-2) = 0 ---> compare this with -2(x-p)² + q = 0
We can see that p = 2 and q = -2
Answer:
200. 96 cm^2
Step-by-step explanation:
If the area of a circle is 
= 3.14,
radius = 8 cm (r = diameter/2 ----> r = 16/2)
=
