Answer:
Step-by-step explanation:
x^2 + 2 = 6x - 6
x^2 - 6x + 2 + 6 = 0
x^2 - 6x + 8 =0
(x - 4)(x - 2)
So x can = 2 or x can = 4
This is essentially the game mastermind if you want to look up more about it
the first 2 guesses have a number with the correct value and in the right position "bulls", all three guesses start with a 1, so if 1 were correct in the first position the 3rd guess would have a "bull" too
this means either the 6 or 2 from the first guess and the 7 or 5 from the second are correct in the 2nd or 3rd position
in the 3rd guess the 3rd number is a 5 without a "bull" so the 5 in the 2nd guess can't also be the "bull". Because 1 and 5 can't possibly be bulls the only number left is 7 so the code is _7_
Because of this we also know that in the first guess the 2 must be the "bull", as in the second spot only a 7 would be correct and the 1 is incorrect anyways -> the code is _72
"Cows"=right number at wrong position only appeared in the guesses 2 and 3 and we know it's neither the numbers 1 (because of guess 1), 7 (becuse it is a bull in 2) and 6 (because it is only in 3 and not both 2 and 3) -> the only number in guess 2 and 3 left is 5
-> the code is 572
Answer:
The ladder will reach 4.6 ft up the tree.
Step-by-step explanation:
When we draw out our triangle, we should see that we are given the horizontal leg and are trying to find the vertical leg. We use tan∅ to help solve:
tan53° = x/3.5
3.5tan53° = x
x = 4.64466
You have to use the distributive property for the numerator on both equations.
Multiply both sides by 5 to go from this
x/5 >= -2
to this
x >= -10
The notation ">=" without quotes means "greater than or equal to"
To graph this, plot -10 on the number line as a closed circle. Shade to the right of this closed circle. The shaded region represents all the solutions to the original inequality.
Final Answer: Choice D
