Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:
Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:
The perimeter is given by:
I hope it helps you!
Simply add up all.
4 1/2 + 6 2/3 + 9 1/4
(4 + 6 + 9) + 1/2 + 2/3 + 1/4
19 6/12 + 8/12 + 3/12 = (6+8+3)/12 = 17/12
19 17/12
19 1 5/12
19 + 1 5/12
= 20 5/12
20 5/12 yards was purchased.
Answer:
The y-intercept is 
The y-intercept represents the initial quantity of gas in the canister which is zero.
Step-by-step explanation:
The y-intercept is where the graph of the straight line touches the y-axis.
From the graph, the y-intercept is the origin (0,0).
Recall that the slope intercept form of a straight line is 
, where is the y-intercept in this case.
Since the graph represents the amount of gasoline in a canister after Joshua begins to fill it at the gas station pump, the y-intercept means the initial gallons of gas in the canister is zero.
X =10.
First distribute the 2(2x-14) and get 4x-28.
x+2-4x-28. Subtract x from each side to get 2=3x-28.
Add 28 to both sides to equal 30=3x. Divide each side by 3 to get your final Answer, x=10.
