Translations, reflections, and rotations is the set
of transformations you can use to check whether two polygons are congruent.
<span>
Reflection
is flipping an object across a line without changing its size or shape.
Rotation
is rotating an object about a fixed point without changing its size or shape.
Translation
is sliding a figure in any direction without changing its size, shape or
orientation.</span>
The correct answer between all
the choices given is the last choice or letter D. I am hoping that this answer
has satisfied your query and it will be able to help you in your endeavor, and
if you would like, feel free to ask another question.
Assuming that means 1.10^t:
0.10 is for years. To get months divide by 12.
0.10/12 = 0.0083333...
And (1+0.083333...) = 1.0833333. (You will have to multiply t by 12 also to get it in terms of months)
(1.0833333)^12t
You cannot divide by zero, because that is undefined, it approaches infinity, which is not a real value. Some would say that division by zero is "not allowed" :P
So in this case the divisor cannot equal zero.
x^2+4x+3=0 There are many methods to factor, I'll complete the square, just for conciseness (and it is good to know how the quadratic formula is derived)
Divide by the leading coefficient, which is just 1 in this case...
Move the constant to the other side, subtract 3 from both sides
x^2+4x=-3 Halve the linear coefficient, square it, then add that value to both sides...(4/2)^2=2^2=4
x^2+4x+4=1 Now the left side is a perfect square...
(x+2)^2=1 Take the square root of both sides
x+2=±√1 subtract 2 from both sides
x=-2±√1
x=-2±1
x=-3 and -1
So if the equation equals zero when x=-3 and -1, it's factors are:
(x+3)(x+1)
So x cannot equal -3 or -1, otherwise your original equation would have division by zero.
Answer:
x = 40
Step-by-step explanation:
50 + 150 + 2x + x + x
200 + 4x
360 - 200 = 160
160 / 4 = 40
x = 40
50 + 80 + 40 + 150 + 40
