Answer:
10.0
Step-by-step explanation:
see attached for reference.
given two points in the x-y axis (x₁, y₁) and (x₂, y₂)
the distance bettween them is given by
Distance, D = √ ( (x₂-x₁)² + (y₂-y₁)² )
In our case we are given points (9,10) and (-1,9)
substituting these into the formula , we get:
D = √ ( (9-10)² + (-1-9)² )
= √ ( (-1)² + (-10)² )
= √ ( 1 + 100 )
=√101
= 10.04988
= 10.0 (rounded to nearest tenth)
I think x = 2 is the answer
Answer:
(y, -x -6)
Step-by-step explanation:
<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>
<em />
The first transformation: 6 units right

Where b = 6
So, the new coordinates will be

The second transformation: 90° clockwise

So, the new coordinates will be

<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>
Answer:
I hope I'll help you with this but I am not sure of it all...
The area of the shaded region is 46,77
Step-by-step explanation:
To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.
The formula to calculate the area of a hexagon is (3√3 s2)/ 2
(where s = one side of the hexagon)
if one side a the little white hexagon equals 6 ft;
3√3 6ft.2/2 = 18√3/2 = 9√3
now for the bigger hexagon where one side is 12 ft;
3√3 12 ft.2/2 = 72√3/2 = 36√3
now the area of the bigger one minus the area of the smaller one;
36√3 - 9√3 = 46,77
Answer: (
x
−
3
)
(
x
+
4
)
Step-by-step explanation: