Use euler’s formula to find the missing number.
edges: 37
faces: 25
vertices: ?

Euler formula is a formula created by the famous mathematician, Leonhard Euler which establishes the relationship between the trigonometric functions and the complex exponential function. According to the rule, the vertices +faces - edges = 2 

V + 25 - 37 = 2

V then is equal to 14

Number of vertices = 14

Step-by-step explanation:

Let e be the number of edges, f be the number of faces and v be the number of  vertices.

As per the statement:  

Number of edges(e) = 37

Number of faces(f) = 25

We have to find number of vertices.

Using Euler's formula:

Substitute the values we have;

⇒

Add 12 to both sides we have;

v = 14

Therefore, the number of vertices = 14

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form