Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
Step-by-step explanation:
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The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?
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JEEW-M  | CERTIFIED EDUCATOR
Let us say the two numbers are x and y and x>y.
The data we have are;
Difference between the numbers are 12.
3 times larger number is equal to 7 times smaller number.
Then we can write;
 ----(1)
 ----(2)
From (1) we can say 
Then substituting  to (2) gives;




Then;


At some point, the exponential function always exceeds a polynomial function.
12^2=144
144 is divided by b which also is an odd interger, there only 2 numbers : 1 and 3
if b=3, a^2=48, then there will be no a available
if b=1 , a^2=144, then a is 12 and 12 can not be divided by 9
The answer is D
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>

<u>Part B</u>

<u>Part C</u>
