Answer:
Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.
Step-by-step explanation:
The vertices of the given quadrilateral is 
It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.
The slope of each side can be found using the formula;
Slope of CO,
A line with a zero slope is a horizontal line.
The slope of OA,
This slope is undefined.
A line with an undefined slope is a vertical line.
This shows that,the side CO and OA of the quadrilateral meets at right angle.
The slope of AT,
This is also a horizontal line.
The slope of TC,
This also a vertical line.
This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.
Also AT is parallel to TO.
This shows that COAT is a rectangle.
You are given the formula
m = (y2-y1)/(x2-x1)
You can pick any two points on table
Let’s choose (9,2) and (3,-2)
Plug in the values into formula
m = (-2-2)/(3-9)
m = -4/-6
Simplify: m = 2/3
Solution: m = 2/3
No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.
Answer:
y = -3x -5
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercep
6x+2y = -10
Subtract 6x from each side
6x+2y -6x = -6x-10
2y = -6x-10
Divide each side by 2
2y/2 = -6x/2 -10/2
y = -3x -5
