Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is

In this case we have k=6



Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
Answer:
Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
__
The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
_____
<em>Additional comment</em>
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
Answer:
true, false, true
Step-by-step explanation:
first one:
|-3.17|=3.17
-3.17 cannot be negative away, so it must be positive.
second one:
|7.29|=7.29
not equal to -7.29
third one:
no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines
brainliest plz
The correct answer is = because 4/6 simplifies to 2/3
By definition, the area of a rectangle is given by:

Where,
w: width
l: long
We then have the following area:

Factoring the area we have:

Therefore, according to the definition, two possible dimensions of the rectangle are:
Answer:
The area of the rectangle in factored form is:
One possible set of dimensions for this rectangle is: