Answer:
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Answer:
To calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. * i didnt know what to put so i put this*

- Now, we know cos(60°) =
. So put the value there.

Hence LHS = RHS [Proved]
Hope you could understand.
If you have any query, feel free to ask.
Answer:
The height of the parallelogram is 20m
Step-by-step explanation:
Given the area of a parallelogram
A = bh where;
b is the base and h is the height
If the base and height of a parallelogram are in the ratio of 6:5. It's area is 480 inches, this means that b/h = 6/5
5b = 6h
b = 6h/5
Substituting equation 1 into the volume if the parallelogram we have;
A = 6h/5×h
480 = 6h²/5
6h² = 480×5
6h² = 2400
h² = 2400/6
h² = 400
h = √400
h = 20m
Answer:
x=7 and y=4
Step-by-step explanation:
I will use the elimination method:
Since the co-efficient of both y's are the same number but different signs we add the 2 equations to eliminate the y:
3x + y =25
+ + +
2x - y = 10
Simplify:
5x=35
Divide both sides by 5:
5x÷5=35÷5
Simplify:
x=7
Substitute this into either equation 1 or 2 ( I chose 1):
3(7) + y = 25
21 + y = 25
Subtract 21 from both sides and simplify to get y:
21+y-21=25-21
y=4
Therefore x=7 and y=4