We are given the vertices of the triangle with their respective coordinates. For the vertex L, the translated coordinates is also given. So, from the original coordinates of L and the new coordinates, we can get the rule used during translation:(7, -3) -> (7 + a, -3 + b) = (-1, 8)7 + a = -1a = -8
-3 + b = 8b = 11
Therefore, the answer is:(x, y) → (x – 8, y + 11)
2/sqrt 5
by rationalising the denominator,
2/sqrt 5 × sqrt 5/sqrt 5
= 2(sqrt 5)/sqrt 5(sqrt 5)
= 2 sqrt 5/5
-
hope this helps! :))))
Answer: The second option (160 cm)
Step-by-step explanation:
1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.
2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.
3. Therefore, you can write the following expression, where x is an integer:
4. Solve for x:
5. Therefore, the longest side is:
(160 cm)
Answer
63.2 degrees
Step-by-step explanation:
Using law of cosines: 19^2=8^2+14^2-2(8)(14) cos (x)
361=64+196-224 cos(x)
361=260-224cos(x)
101=224cos(x)
divide both sides by 224, which gets you (rounded to 4th decimal place) 0.4509. do inverse cos which gets you 63.2
