Mathematics, 14.07.2020 14:01 nonispn606

Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).

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Answer from: GiaTeyy6536

Perimeter = 22

Step-by-step explanation:

To find the perimeter, we will follow the steps below:

A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).

First, we will find the distance AB

A = (-1,-1), B = (2,3)

|AB| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = -1 y₁=-1 x₂=2 y₂=3

we can now proceed to insert the values into the formula

|AB| = √(x₂-x₁)²+(y₂-y₁)²

= √(2+1)²+(3+1)²

= √(3)²+(4)²

= √9 + 16

=√25

= 5

|AB| = 5

Next, we will find the distance BC

B = (2,3), C = (5,3),

|BC| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 2 y₁=3 x₂=5 y₂=3

we can now proceed to insert the values into the formula

|BC| = √(x₂-x₁)²+(y₂-y₁)²

= √(5-2)²+(3-3)²

= √(3)²+(0)²

= √9 + 0

=√9

= 3

|BC|=3

Next, we will find the distance CD

C = (5,3), D = (8,-1).

|CD| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 5 y₁=3 x₂=8 y₂=-1

we can now proceed to insert the values into the formula

|CD| = √(x₂-x₁)²+(y₂-y₁)²

= √(8-5)²+(-1-3)²

= √(3)²+(-4)²

= √9 + 16

=√25

= 5

|CD|=5

Next, we will find the distance DA

D = (8,-1) A = (-1,-1)

|DA| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 8 y₁=-1 x₂=-1 y₂=-1

we can now proceed to insert the values into the formula

|DA| = √(x₂-x₁)²+(y₂-y₁)²

= √(-1-8)²+(-1+1)²

= √(-9)²+(0)²

= √81 + 0

=√81

= 9

|DA|=9

PERIMETER = |AB|+|BC|+|CD|+|DA|

=5 + 3+5 +9

=22

Perimeter = 22

Answer from: Quest

Number nine is f(x)= 40x : ) hoped i ya

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1...