Step-by-step explanation:
Hey there!
The points of line AB are; (-1,-4) and (2,11).
Note:
- Use double point formula and simplify it to get two eqaution.
- Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.
~ Use double point formula.

~ Keep all values.

~ Simplify it.



Therefore this is the equation of line AB.
Now, Finding the equation of line CD.
Given;
The points of line CD are; (1,1) and (4,10).
~ Using formula.

~ Keep all values.

~ Simplify it.


Therefore, 3x - y- 2 = 0 is the eqaution of line CD.
Use condition of parallel lines.
m1= m2
Slope of equation (i)


Therefore, m1 = 5
Slope of second equation.


Therefore, m2 = 3.
Now, m1≠m2.
So, the lies are not parallel.
Check for perpendicular.
m1*m2= -1
3*5≠-1.
Therefore, they aren't perpendicular too.
So, they are neither.
<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
Yes, 9/5 is a rational number.
Answer:
The angle 2pi/3 terminate in quadrant II
Step-by-step explanation:
Quadrant I ⇒ 0 < θ < (π/2)
Quadrant II ⇒ (π/2) < θ < (π)
Quadrant III ⇒ (π) < θ < (3π/2)
Quadrant IV⇒ (3π/2) < θ < (2π)
When θ = 2π/3
∴ (π/2) < θ < (π)
So, The angle 2pi/3 terminate in quadrant II