Answer:
<h2>43 1/2</h2>
Step-by-step explanation:
The formula to find the area of a triangle is multiplying base times height divided by 2.
So we have 3+3+3 (which is the base) times height. Finally we have: 9 x 11, which is 99 and now we divide it by 2. So 99/2 = 49 1/2.
Now we subtract the missing rectangle, which we can find by multiplying 3 by 2, which is 6.
So now subtract 6 from 49 1/2, and you'll get 43 1/2.
Answer:
The added term needed for that expression to be a square is 9/16.
Step-by-step explanation:
We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.
That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.
If we tack that on the end then, we get:
To confirm the answer, let's expand it and see if we get the original expression:
So 9/16ths is the scalar that needs to be added on the end.
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
Answer: 4
Step-by-step explanation:
Since it's the absolute value of -12 then it turns positive always so 12 - 8 equals 4
