I can see it goes through the point (2, 2)
b = 6 then
solved it the lazy way, graphically with desmos and a slider for b, see screenshot
No graph, so cannot be precise.
But you can apply rotation 270 CCW = rotation -90 CCW
r_[90] : (x,y) -> (y,-x)
18. just subtract 49.6 from 54. 54 - 49.6=4.4 He most lose 4.4 pounds.
19. all you need to do is add 4.6 to 83. 83+4.6=87.6 She will weigh 87.6 pounds
20. divide 910 by 7. 910÷7=130 The dog ate 130 grams per day
21. multiple 4.95 by 5. 4.95×5=24.75 Her total bill was 24.75
22. subtract 12.96 from 20. 20-12.96=7.04 Her change was 7.04
Answer:
a.) (x-3)(x-3) = 25 + (x-4)(x-4)
x^2 - 6x + 9 = 25 + x^2 - 8x + 16
-6x + 9 = -8x + 41
2x + 9 = 41
2x = 32
x = 16
b.) 16 - 4 = 12
AB = 12
c.) 16 - 3 = 13
AC = 13
[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]
Height is 15 feet
It rebounds 85% of its original height
.85*15=12.75 feet on 1st bounce
12.75*.85=10.8375 feet on the 2nd bounce
10.8375*.85=9.211875 feet on 3rd bounce
So your answer is 9.2 feet high
Hope this helps!
