The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Step-by-step explanation:
Let us revise some notes:
- If a line is drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
- If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy
- To find the equation of AB subtract OB from OA, then AB = (c - a)x + (d - b)y
- The slope of line AB =
∵ oa = 2 x + 9 y
∵ ob = 4 x + 8 y
∵ ab = OB - OA
∴ ab = (4 x + 8 y) - (2 x + 9 y)
∴ ab = 4 x + 8 y - 2 x - 9 y
- Add like terms
∴ ab = (4 x - 2 x) + (8 y - 9 y)
∴ ab = 2 x + -y
∴ ab = 2 x - y
∵ The slope of ab =
∵ Coefficient of x = 2
∵ Coefficient of y = -1
∴ The slope of ab = 
∵ cd = 4 x - 2 y
∵ Coefficient of x = 4
∵ Coefficient of y = -2
∴ The slope of cd = 
∵ Parallel lines have same slopes
∵ Slope of ab = slope of cd
∴ ab // cd
The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Learn more;
You can learn more about the parallel lines in brainly.com/question/10483199
#LearnwithBrainly
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative.
Answer: 22cm
Step-by-step explanation:
A square has four sides with equal length So, the perimeter of a square = 4L (i.e 4 x length)
= 4 x 5.5cm
= 22cm
Thus, the perimeter of the square is 22cm
Answer:
<u>For Triangles:</u>
To find remaining angles, implying that you have angles already given to you, you would mark your unknown angle as a variable, x per say, then you would add together the angles that you do have and you would subtract that by 180 degrees because all triangles angles sum up to 180 degrees. So when you subtract that you should be able to find your unknown angle.
Answer:
The correct answer is b) 1100 adults and 1400 students.
Step-by-step explanation:
To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.
First start by creating an equation for money made.
5x + 10y = 18,000
Now write an equation for the amount that attend.
x + y = 2,500
Now multiply the bottom equation by -5 and add the equations together.
-5x - 5y = -12,500
5x + 10y = 18,000
5y = 5,500
y = 1,100
Since this is the number of adults, we can plug into an original equation to find the number of students.
x + y = 2,500
x + 1,100 = 2,500
x = 1,400
