10x + 10y = −10 9x + 10y = −18

Mathematics

2 answers:

Anna71 [15]2 years ago

6 0

Answer:

(8,-9)

Step-by-step explanation:

andreev551 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

10x+10y=-10

9x+10y=18

= 10x+10y=-10

-9x-10y=18

= x=8

step two is to find y:

10x+10y=-10

10(8)+10y=-10

80+10y=-10

10y=-90

y=-9

your answer:

(x,y)= (8,-9)

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the coordinates of the vertices of a rectangle in order are (5,2), (-1,4), (-2,1) and (4,-1). what is the perimeter of the recta

Anna [14]

Answer:

19 units

Step-by-step explanation:

Plot points A(5,2), B(-1,4), C(-2,1) and D(4,-1) on the coordinate plane. Find lengths of all sides as distances between two points:

$AB=\sqrt{(-1-5)^2+(4-2)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\BC=\sqrt{(-2-(-1))^2+(1-4)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units\\ \\CD=\sqrt{(4-(-2))^2+(-1-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\DA=\sqrt{(5-4)^2+(2-(-1))^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units$