Answer:
8/5
Step-by-step explanation:
Hope This Helps;)
Answer:
D) None of the above
Step-by-step explanation:
These are no supplementary or complimentary because they do not add up to 180 and to be vertical they would have to be across from each other
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer: x = 4,11
Step-by-step explanation:
x^2 - 7x - 34 - 10 = 0
x^2 - 7x - 44 = 0
Factorise it
x^2 - 11x - 4x - 44 = 0
x ( x - 11 ) - 4 ( x - 11 ) = 0
(x-4)(x-11) = 0
x = 4,11
