A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.
Therefore,
- option A is false, because rotation preserves sizes;
- option B is false, because rotation doesn't change the figure size;
- option C is true, because rotation preserves figure angles;
- option D is true, because rotation preserves lenghts of segments.
Answer: option C and D.
Answer:
Simplified Answer: 1/3 Non-Simplified Answer: 5/15
Step-by-step explanation:
Make every fraction have a common denominator:
4/5 * 3/3 = 12/15
3/15 = 3/15
2/3 * 5/5 = 10/15
Add and/or Subtract the numerator(s):
12 + 3 = 15
15 - 10 = 5
Place the final numerator over the denominator (Non-simplified Answer):
5/15
Simplify (What can you divide the numerator and the denominator by to make the fraction into it's simplest from without any remainders?):
5 goes into both 5 and 15.
5/15 divided by 5 = 1/3
Simplified Answer:
1/3
Answer:
10x⁴ - 33x² - 7
Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
Now, for the given:
To solve the given question, we will multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(5x² + 1)(2x² - 7)
5x²(2x²) + 5x²(-7) + 1(2x²) + 1(-7)
10x⁴ - 35x² + 2x² - 7
10x⁴ - 33x² - 7
Hope this helps :)
For the lines to be parallel, the slope must be the same
(y2 - y1) / (x2 - x1) = slope
(7- (-3)) / (b-2) = -2
-2 (b-2) = 10
-2b + 4 = 10
-2b = 6
b = -3
