In the graph below, line “k” y= -k makes a 45 degree angle with the x and y axes. complete the following:
rx: (2,5) —>
a) (2,-5)
,5)
c)(5,2)

Answer with explanation:

The line , y = - x,makes an angle of 45 degree with the x and y axis means 135  degree with positive direction of x axis.

When point (p,q) is reflected over the line , y=x,the coordinates of reflected point will be (q,p)

And, when point (p,q) is reflected over the line , y= -x, the coordinates of reflected point will be (-q, -p).

So,when point (2,5) is reflected over the line , y= - x, the coordinates of reflected point will be (-5,-2).

If reflected over line , y=x ,the point (2,5) will transform to (5,2).

Now,

means reflection over x axis gives coordinates of new point (2, -5), point in fourth Quadrant.

If these points reflected over line , y= -x ,gives

A) (2, -5)→ (5, -2)

B) (-2,5)→(-5, 2)

C) (5,2)→(-2,-5)

The correct answer will be option-

1. Independent Variable: brands of shampoo

2. Dependent Variable: shining of the hair

3. Control: sample without any treatment of shampoo.

4. Constant: amount of water and the shampoo

Step-by-step explanation:

In a scientific experiment, three important types of  variables are studied which are:

1. Dependent Variable: The variable which has to be studied in the experiment which in the given question is the shining of the hair

2. Independent Variable: the variable which when modified control and influences the dependent variable which is brands of shampoo

3. Constant: The variable which remains same or constant throughout the experiment which is the amount of water and the shampoo

Also, the samples of an experiment are divided into two groups:

1. Experimental group: samples in which the variable to be studied is included

2. Control group: the group in which the key variable is not present and thus acts as a reference to the experimental group like the sample without any treatment of shampoo.