What is the area of a right triangle with vertices of (-2,-,-4), and (2,5)?

A = 18

Step-by-step explanation:

The formula for the area of a triangle is  

A = ½bh

b = x₂ - x₁ = 2 - (-2) = 2 + 2 = 4

h = y₂ - y₁ = 5 - (-4) = 5 + 4 = 9

A = ½ × 4 × 9 = 18

The area of the triangle is 18.

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

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