9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
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The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
Answer:-8x^2-6x+36xy^2+27y^2
Step-by-step explanation:
using the FOIL method
Answer:
Step-by-step explanation:
What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.
Here's why and it is the one bit of physics you have to know.
The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.
So ...
b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour
b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] = 26/60 = 0.4333 hour
h = 40 km/hour
Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2
Area = 0.75 hour * 40 km/hr //2
Area = 15 km
Answer: 70
Step-by-step explanation:
I think
0 = -16t^2 -60t +54
t = 0.75 seconds
solving by the quadratic equation or graphing calculator or completing the square.