Mage: coordinate plane with points plotted at ordered pairs q (–4, 4), r (2, 4), s (5, –3), t (2, –3), and u (–4, –3)]

vertex r is units from vertex t.
me

Vertex R is 7 units from Vertex T in the coordinate plane.

Step-by-step explanation:

step 1: The given points of R and T is R= (2,4) and T= (2,-3).

step 2: To find the distance between these two points, use the distance formula:

Distance between two points= √((x2-x1)^2) + ((y2-y1)^2).

step 3: Take R(2,4) as (x1,y1) and T(2,-3) as (x2,y2).

step 4: Substitute x1=2, x2=2, y1=4, y2= -3 in the distance formula,

Distance= √((2-2)^2) + ((-3-4)^2) = √((0)+(-7)^2) = √49 = 7 units.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.