Hello!
So in this question, you need to do it backwards. This means, taking the vertices of the new triangle and reflecting it across the X axis, and then reflecting it 180 degrees.
The formula for reflecting across the X axis is--
(X,Y) -> (X,-Y) *Note, in this case, it may not always be negative Y. The negative symbol only stands for the opposite. So it the point is negative originally, then the new point would be positive.
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So, now you take your points, and use the formula.
(-4,-4) -> (-4,4)
(-2,-4) -> (-2,4)
(-3,-1) -> (-3,1)
Now, you have your new points. But, you still need to rotate it 180 degrees.
The formula to rotate 180 degrees is--
(X,Y) -> (-X,-Y)
Then, you take your new points, and use the formula for each coordinate.
(-4,4) -> (4,-4)
(-2,4) -> (2,-4)
(-3,1) -> (3,-1)
There is your answer. The new points would be--
(4,-4)
(2,-4)
(3,-1)
Hope this helped!
Regards,
~KayEmQue
Answer:
5
Step-by-step explanation:
2 log₃(x + 4) − log₃9 = 2
2 log₃(x + 4) − log₃3² = 2
2 log₃(x + 4) − 2 = 2
2 log₃(x + 4) = 4
log₃(x + 4) = 2
3^(log₃(x + 4)) = 3^2
x + 4 = 9
x = 5
1/4+6-2/3
3/12+72/12-8/12
75/12-8/12
67/12
or
.25+6-.66
6.25-.66
5.59
IV : 17 > 2 or 6 < 9......these are true....17 is greater then 2 and 6 is less then 9
Try this solution:
rule: the volume of any cylinder can be calculated with formula: V=πr²h, where r - the radius of the base, h - height of the cylinder.
Using the formula written above:
5. V=π*25*6=150*3.1415≈471.2389≈471.2 cm³;
6. V=π*64*4=256*3.1415≈804.2477≈804.3 cm³
