the coordinates of the vertices after the given transformation are:
- H' (4, -1)
- I' (4, 3)
- G' (1, 0)
<h3>
How to get the coordinates of the vertices after the transformation?</h3>
First, we can identify the original vertices, which are:
- H (4, 1)
- I (4, -3)
- G (1, 0)
Now we apply a reflection across the x-axis, it will only change the sign of the y-component of each of the above points, then the coordinates of the vertices after the given transformation are:
- H' (4, -1)
- I' (4, 3)
- G' (1, 0)
If you want to learn more about transformations:
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Answer:
-9y^8
Step-by-step explanation:
-3y^4 * 3y^4
Multiply the coefficients
-3*3 = -9
Add the exponents since the base is the same
y^4 * y^4 = y^(4+4) = y^8
Put them back together
-9y^8
The answer would be £35.2
Answer:
The ladder would reach 40ft
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height that the ladder would reach along the side of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the height that the ladder would reach along the side of the building h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
41² = 9² + h²
1681 = 81 + h²
h² = 1681 - 81 = 1600
h = √1600
h = 40 ft
It would be: 16 / 4/9
We can re-write as: 16 * 9/4 = 4 * 9 = 36
So, your final answer is 36
Hope this helps!
