Coordinates of the vertices! I really need help!

  GH = 5; ∠H = 90°

Step-by-step explanation:

As with many multiple-choice questions, you only need to use a bit of sense to choose the correct answer. It can help to plot the points on a graph. This immediately shows you the location of the right angle, and the lengths of the sides.

∠H = 90° narrows the choices to the first two. GH = 5 eliminates the second choice. That is sufficient for finding the correct answer.

The appropriate answer choice is the first one.

_____

Unnecessary further working

You know the tangent of angle G is the ratio of the opposite side (6) to the adjacent side (5). That is, ...

  ∠G = arctan(6/5) ≈ 50°

  ∠I = 90° -∠G = 40°

The length of GI is found using the Pythagorean theorem:

  GI² = GH² +HI² = 5² +6² = 61

  GI = √61 ≈ 7.81

what do you need me to answer?

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.