The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2
<span>The bacteria in a certain culture double every 7.1 hours.
The culture has 6,500 bacteria at the start. How much after 4 hrs
:
Using the formula: A = Ao*2^(t/d) where
A = amt after t time
Ao = initial amt (t=0)
t = time of action
d = doubling time of the bacteria
;
A = 6500*2^(4/7.1)
A = 6500 * 1.4777
A = 9605 bacteria after 4 hrs</span>
Answer:
Hi! I think I got the answer, it is a tricky one! The answer I got was C) 1029.
Step-by-step explanation:
1. It is good to first know that 40%more means 1.4 (some number). So, if n is 40% more than the sum of the other three numbers: n= 1.4* (<em>l +m+p)</em> .
2. Also note that: <em>n+l+m+p= </em>1764; so, <em>n = 1764-l-m-p.</em>
3. Since we have two expressions for n, we can equate them to each other. Giving, 1.4* (<em>l +m+p) =1764-l-m-p . </em>Simplifying we get 2.4 (<em>l +m+p)</em>=1764.
4. <em>l +m+p =1764/2=735.</em>
5. 1764-735=1029
Hope that helps! Feel free to message back if there are any questions!
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Answer:
9 units²
Step-by-step explanation:
Area of triangle= ½ × base × height
The base here is 3 units and the height is 6 units.
Area of traingle
= ½(3)(6)
= 9 units²
Answer:
-4
Step-by-step explanation:
-1 + -3 = -4
