Answer:
0
Step-by-step explanation:|-2 - (-1)| =
|-2 + 1| =
| -1 | =
1.
So, we're one unit away from y = -1. If we're one unit ABOVE y=-1, we need to move the point to be one unit BELOW it instead. And if we're one unit BELOW y = -1, we need to move the point to be one unit ABOVE it.
Since the point has a y-coordinate of -2, its BELOW the line y = -1, by 1 unit. Now we change the y-coordinate so its instead ABOVE y = -1, by 1 unit:
(y-coordinate of reflection line) + (number of units above that line) =
-1 + 1 =
0.
Our new y-coordinate is 0, so the point is now at
(7, 0).
A more mechanical, but less intuitive approach is as follows:
Let L = the y-coordinate of the line, and
P = the y-coordinate of the point.
The new y-coordinate is 2L - P.
In this case, L = -1, and P = -2. So we have
2L - P =
2(-1) - (-2) =
-2 -(-2) =
0.
The option that can be used to support the idea that the set of polynomials is closed under multiplication is; Option C: (10x^(0.5) - 8)(5x^(0.5) + 4)
<h3>What is the Closure property under multiplication?</h3>
When multiplying polynomials, the variables' exponents are added, according to the rules of exponents. It is pertinent to note that the exponents in polynomials are whole numbers. The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Thus, we can also say that the polynomials are closed under multiplication.
Now, looking at the options, we can say that option C is the only polynomial that is closed under multiplication because its' variables and exponents will not change;
(10x^(0.5) - 8)(5x^(0.5) + 4)
The output will retain the same thing.
Read more about closure property at; brainly.com/question/19340450
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Answer:
54
Step-by-step explanation:
15/5 = 3 columns in each row are shaded. There are 18 rows, so 3×18 = 54 cells are shaded.
Answer:
Height = 3.82
Step-by-step explanation:
(3.14)(5)²
(3.14)(25)
= 78.5
300 = 78.5h
300/78.5 = 78.5h/78.5
h = 3.821656051 or approximately 3.82