Your function is |x-h|+k where (h,k) is the vertex and the range will be greater than or equal to the y value of the vertex or k. So the range is greater than or equal to -2. This means the none of the answer choices are correct since none of them give the option of greater than or equal to. Seems to be an error though as both the top two answers and the bottom two are exactly the same.
<h2>
Hello!</h2>
The answer is:
The length of "x" is equal to 4 units.
<h2>
Why?</h2>
To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.
So, for the triangles, we have:
The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).
We are given:
First triangle,

Second triangle,

So, using the cosine identity, we have:



Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.
Hence, the length of "x" is equal to 4 units.
Have a nice day!
The third one**(1+5h)+2**
Answer:

Step-by-step explanation:
![\sqrt[3]{-729a^9b^6} =](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-729a%5E9b%5E6%7D%20%3D)



