Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
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This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
The formula for calculating area of parallelogram is given as:
Area = base x height
So, here in this question,
Base = 3. 5 units
Height = 2 units
Area = 3.5 x 2
= 7 unit^2
Hello!
You first have to find the total amount of apartments
35 + 55 = 90
There are 90 apartments
Then you find the percentage of them have a balcony
You do this by taking the amount of apartments that have a balcony over the total amount of apartments
35/90 = 0.39
0.39 as a percent is 39%
The answer is 39/100 or 39%
Hope this helps!
16+28+12=56
56+4=60
There were 60 total items for sale at the bake sale.
