Answer: (-4, -1)
Step-by-step explanation:
Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.
So the new point is now (-4, 1).
Now we reflect over the x-axis which means the y-value of 1 becomes negative.
So the final point is (-4, -1)
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
your answer is (1,3) but positive
- 9 + 7
-2
if you need more details, please leave me a comment
Answer: 21
Step-by-step explanation: f(-2) = 4· (-2)²-(-2) + 3 = 4·4 +2 +3
