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)

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true