Answer: Origin, 8,0, 8,3,and 0,3
Step-by-step explanation:
Firstly, it tells us that we need to rotate it around the origin, so no matter what, the origin will always be one of our coordinate. After that -10 and -2 has an 8 difference, so if it is 180 degrees, the co-ordinate must be 8 since the origin and 8 is also a difference of eight.
Secondly, now when we need to find out the height, we know that 5 and 2, which are the heights of D and C, the difference is 3. So x-0=3, well, we already know that x is 3 because 3+0=x. That means DC on the other side is 0,3 since we always read the x axis first and then the y. And there you go! You now know the 4 co-ordinates! They are 0,0 , 8,0 , 8,3 and 0,3
Hope this helps :>
Answer: Solution x=27, y-7.2
(1) 2x + 5y= 18
(2) 4x + 20y= -36
Multiply equation (1) by -2:
(1) -4x - 10y= -36
(2) 4x + 20y= -36
Add (1) to (2):
(2) 4x + 20y -4x - 10y = -36 -36
-> 10y = -72
-> y=-7.2
Use the value for y in equation (1) to get x:
(1) 2x + 5(-7.2) = 18
2x -36 = 18
2x = 54
x = 27
Solution (x,y)=(27,-7.2)
Answer:
The numerical length of BD is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point C lies on the line segment BD
→ That means C divides BD into 2 parts
∴ C divides BD into 2 parts BC and CD
∴ BD = BC + CD
∵ BD = 5x
∵ BC = 4x
∵ CD = 4
→ Substitute them in the equation above
∴ 5x = 4x + 4
→ Subtract 4x from both sides
∵ 5x - 4x = 4x - 4x + 4
∴ x = 4
→ Substitute the value of x in the expression of BD
∵ BD = 5x
∵ x = 4
∴ BD = 5(4) = 20
∴ The numerical length of BD is 20 units
Answer:
64
Step-by-step explanation:
Its practically just 8 times 8
For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand, we have that if two lines are parallel then their slopes are equal.
We have the following equation of the line:
Rewriting we have:
Thus, the slope of the lines is
Then, a parallel line will have slope
Thus, the equation of the new line will be given by:
To find the cut-off point "b", we substitute the point through which the line passes:
Finally the equation is:
ANswer: