<h3>
Answer: 0</h3>
=====================================================
Explanation:
The term "variant" means "it changes" or "it moves location".
So "invariant" means it stays fixed in place.
The translation vector 
is the same as writing the rule 
. It says to shift every (x,y) point 1 unit to the right and 3 units up. The key to this is the "every". There isn't a point left out that the translation doesn't touch. No points stay fixed in place. <u>There are no invariant points</u>.
In contrast, if we were to do a dilation, then the invariant point is the center of the dilation. Everything either shrinks or enlarges with respect to this fixed center point. Another example would be a rotation where the center of rotation stays fixed. Unfortunately, translations do not have this property of having an invariant fixed point.
Answer:
x = ± <u>-2</u>
<u>_</u>
3
Step-by-step explanation:
Combine Like Terms - 2x(3x) = 16
Calculate - 6x² = 16
Divide - x² = 8/3
Simplify - x = ± <u>-2</u><u>_</u>
3
A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:
y - 2 = -3/4(x - 6)
Opening the bracket, we have:
y - 2 = -3x/4 + 18/4
y = -3x/4 + 18/4 + 2
y = -3x/4 - 26/4
y = -3x/4 - 13/2
Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.
In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.
Read more on graphs here: brainly.com/question/4546414
#SPJ1
4x+7+2x-5+4x-6 or 10x+7-6-5
Answer: C
Work:
The square root of 32 can be simplified and then combined with the square root of 2 into one single term. Since 32 is divisible by 16, which is the square root of 4, the term then becomes 4(square root of 2).
You then have 4(square root of 2) + (square root of 2) as your expression which simplifies to be equal to 5(square root of 2). The answer is then C.
