Answer:
B
Step-by-step explanation:
Answer: The value of x- 2y is a.
.
Step-by-step explanation:
Given: x and y are two positive real numbers such that
and
.
Consider ![(x-2y)^2=x^2-2(x)(2y)+(2y)^2\ \ \ [(a+b)^2=(a^2-2ab+b^2)]](https://tex.z-dn.net/?f=%28x-2y%29%5E2%3Dx%5E2-2%28x%29%282y%29%2B%282y%29%5E2%5C%20%5C%20%5C%20%5B%28a%2Bb%29%5E2%3D%28a%5E2-2ab%2Bb%5E2%29%5D)


Put
and
, we get


Taking square root on both sides , we get'

Hence, the value of x- 2y is a.
.
<u>Given</u>:
It is given that KLM is a right triangle.
The measure of ∠M is 90°
The length of LK is 89, ML is 80 and KM is 39.
We need to determine the ratio that represents the tangent of ∠K.
<u>Measure of tan ∠K:</u>
The measure of tan ∠K can be determined using the trigonometric ratio.
Thus, we have;

From the figure attached below, the side opposite to ∠K is ML and the side adjacent to ∠K is KM
Hence, substituting the values, we get;

where ML = 80 and KM = 39.
Substituting, we get;

Thus, the ratio that represents the tangent of ∠K is 
Answer: Coping strategies can help individuals build <u><em>resiliency.</em></u>
Step-by-step explanation:
Resiliency is defined as the capacity to recover quickly from difficulties. Coping with something means finding ways to face and understand the negative feelings that thing causes you and how to overcome them.
The other three options are actually <em>things you would want to learn how to cope with</em>, thus not correct answers.