On a coordinate plane, rectangle e f g h is shown. point e is at (1, negative 1), point f is at (negative 4, 1), point g is at (negative 3, 4), and point h is at (2, 2). what is the perimeter of rectangle efgh? startroot 10 endroot + startroot 29 endroot units 2 startroot 10 endroot + 2 startroot 29 endroot units 22 units 39 units

Perimeter of rectangle=

= .

Step-by-step explanation:

Given:

Using distance formula:

Length of EF =

=

=

=  

=  

=

Length of FG =

=

=

=

=

Length of GH =  

=  

=

=  

=

Length of HE =  

=

=

=

=

∵ EFGH is a rectangle ∴ EH = FG and EF = HG

Perimeter of rectangle = 2 ( EF + FG + GH + HE)

= 2 (EF + FG)

=

=

Therefore option (b) is the correct answer.

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