A. The angles at the intersection of the two lines can be proven to be congruent and complementary . so they meet at a right angle and the lines are perpendicular.
<u>Step-by-step explanation:</u>
In above question, In order to find whether AB ⊥ CD, Using compass construction & rounder , keep the tip at A and cut arcs at line CD . Follow the same process again with tip at B and cut arcs at line CD . Do this both sides of Line CD i.e. on left side of AB & on right side of AB. Now, join the intersection points of both side arcs which are intersecting each other. Now, to prove both are right angle to each other i.e. AB ⊥ CD , can be done by proving congruent and complementary , so they meet at a right angle and Hence , the lines are perpendicular i.e. AB is inclined to CD at angle of 90°.
Answer:
6y(y^2-3x)
Step-by-step explanation:
6y^3-18xy=6y(y^2-3x)
Answer:
y = 4x - 3
Step-by-step explanation:
(-2, -11) & (3, 9)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(9 - (-11)) / (3 - (-2))
Simplify the parentheses.
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 4(3) + b
To find b, multiply the slope and the input of x(3)
9 = 12 + b
Now, subtract 12 from both sides to isolate b.
-3 = b
Plug this into your standard equation.
y = 4x - 3
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -11).
y = 4x - 3
-11 = 4(-2) -3
-11 = -8 - 3
-11 = -11
Your equation is correct.
Hope this helps!
Answer:
What is the question?
Step-by-step explanation:
Answer:
Carl
Step-by-step explanation:
There are 52 weeks in a year, and Carl reads 3 books a week, so he reads 3*52= 156 books a year. There are 12 months in a year, and Rose reads 6 books a month, so Rose reads 6*12=72 books a year. Carl reads the most books
