Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
I am certain it is
200g butter
300g flour
400g sugar
Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point
If we reflect a point across the line 
with equation 
, the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line with equation , the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
The rational numbers will best define- The height of an airplane as it descends to an airport runway.
This is because it includes fractions as well.
Irrational, integers, whole numbers cannot be used in this situation.
Answer:
1779.33 mm³
Step-by-step explanation:
We are given a candle in a form of a cylinder and a cone
Dimensions;
Common radius is 5 mm
Height of the cylinder is 20 mm
Height of the cone is 8 mm
We are required to determine the amount that it can hold.
To answer the question we are going to determine its volume
Cylinder;
Volume of a cylinder is given by;
V = πr²H
Taking π to be 3.14
Then ;
Volume of cylinder = 3.14 × 5mm² × 20 mm
= 1570 mm³
Cone
Volume of a cone is given by;
V = 1/3πr²H
That is;
Volume =1/3 × 3.14 × 5mm² × 8 mm
= 209.33 mm³
Therefore;
Volume of the solid = 1570 mm³ + 209.33 mm³
= 1779.33 mm³
Thus, the volume of the solid is 1779.33 mm³
