Answer:
The slope of FG is -1
Step-by-step explanation:
Given
Square EFGH
EF: 
Required
Determine the slope of FG
First, we calculate the slope of EF

Make y the subject


The general equation has the form: 
Where

Compare
to 

<em>From the name of the square EFGH, we can conclude that EF and FG are perpendicular</em>
<em />
The relationship between perpendicular lines is:

Where
-- Slope of EF
and
m2 = slope of FG
Substitute 1 for m1 in 


<em>Hence, the slope of FG is -1</em>
answer:
creo que la respuesta es 32 690909/2000000
step-by-step explanation:
**los pasos están en la imagen**
buena suerte :)
espero que esto ayude
**por favor avíseme si esto es incorrecto / no es lo que estaba buscando o ambos**
que tenga un lindo día!
Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
____________________________
Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore
b = 7√3.
Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

The distance between these 2 points is 13.