Answer:
(x-1)(x-1)
Step-by-step explanation:
hello :
(x+2) ²-6 (x+ 2) +9 =(x+2) ²-2×(<em>3</em>) (x+ 2) +<em>3²</em>
by identity : (a-b)² = a²-2ab+b²
let : a=x+2 and b= <em>3</em>
(x+2) ²-6 (x+ 2) +9 =(x+2) ²-2×(<em>3</em>) (x+ 2) +<em>3²=</em> ((<em>x+2)-3</em>)<em>²= (</em>x+2-3)² = (x-1)²=
(x-1)(x-1)
Newton's law of motion has three parts. The second of which states that the force needed to move an object is directly proportional to the acceleration of the motion. The proportion can be written as,
F = ka
where k is the constant of proportionality. This can be substituted with the mass of the object such that the equation would become.
F = ma
where F is force, m is mass, and a is acceleration.
Answer:
Step-by-step explanation:
The quadratic can be solved in a straightforward way:
This tells you that the solutions are ...
2i or -2i
__
For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...
(x +2i)(x -2i)
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
Answer:
m^2
Step-by-step explanation:
You only need the surface area, which means you will not use cubed (^3). But the surface area is two dimensions (length and width). SO you must use m^2.
