In the smaller triangle, let 
be the length of the smallest leg. Then the smallest leg in the larger triangle is 
.
Within the scope of the smaller triangle, we have such that
Then within the larger the triangle, we would have
Now we can solve for 
:
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
 3x^3-12=0
Step 2: Use a factoring strategies to factor the problem.
 3x(x^2-4)=0
3x(x+2)(x-2)=0
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
 3x=0 or x+2=0 or x-2=0
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
 x=0 or x=-2 or x=
I hope this helped you!
Answer:
-7 1/7
Step-by-step explanation:
To “distribute” means to divide something or give a share or part of something.
<span>a) Suppose that the standard deviation of the population is known to be sigma = 4.5 kg. What is sx, the standard error of x?
</span>δx = δ/√n = 4.5kg / √24 = 4.5kg / 4.90 = 0.918
<span>b) Give a 95% confidence interval for the mean of the population from which the sample is drawn.
_
x + z * </span>δ/√n where z* = 1.96 for the 95% confidence interval
_
x = <span>Σx / n = 1483/24 = 61.79
61.79 + 1.96(0.918) = between 59.99 kg and 63.59 kg
</span><span>c) Are you quite sure that the average weight of the population of runners is less than 65 kg?
Based on my computation, 65 kg is above the 95% confidence interval. Thus, the average weight of the population of runners is less than 65 kg.</span>
The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
<h3>How to find the value of the function as x approaches infinity (+ve or -ve)?</h3>
If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
For the considered case, the function is:
The missing options are:
- The graph approaches –2 as x approaches infinity.
- The graph approaches 0 as x approaches infinity.
- The graph approaches 1 as x approaches infinity.
- The graph approaches 2 as x approaches infinity.
So we need to find the limit of the function as x approaches infinity.
Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.
Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
Learn more about limits of a function here:
brainly.com/question/13146225
