PLEASE HELP QUICK! 80 POINTS!

Mathematics

2 answers:

Romashka [77]4 years ago

4 0

Answer:

A'(-1,-4)

B'(-5,-8)

C'(-5,-4)

D'(-4,-2)

Step-by-step explanation:

We have been given a graph of a quadrilateral and we are asked to find the coordinates of our quadrilateral after reflecting it across the x-axis.

We can see that coordinates of quadrilateral ABCD are:

A (-1,4),

B (-5,8),

C (-5,4),

D (-4,2).

Since we know that rule for reflecting an image across x-axis is $(a,b)\rightarrow (a,-b)$ . This means that y-coordinates of our given image will be negative.

So after reflecting our given quadrilateral across x-axis, coordinates will be:

$A(-1,4)\rightarrow A'(-1,-4)$

$B(-5,8)\rightarrow B'(-5,-8)$

$C(-5,4)\rightarrow C'(-5,-4)$

$D(-4,2)\rightarrow D'(-4,-2)$

emmainna [20.7K]4 years ago

3 0

Answer:

A (-1,-4)

B (-5,-8)

C (-5,-4)

D (-4,-2)

Step-by-step explanation:

You might be interested in

I really don’t get this , it’s graphing linear inequalities

ElenaW [278]

The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to $y = \frac{1}{4}x - 2$ . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).

Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.

Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).