Answer:
3y+5x=0
Step-by-step explanation:
The question is on equations of parallel lines
Finding the gradient m of line AB
m=change in y coordinates/change in x-co-ordinates
Given points A(-3,0) and B (-6,5)
m=Δy/Δx Δy=5-0=5 Δx=-6 - -3= -3 ⇒m= - 5/3
Equation
The line will have its gradient equal to - 5/3
m=-5/3
point is the origin (0,0)
m=Δy/Δx
y-0/x-0 = -5/3
3(y-0)=-5(x-0)
3y-0= -5x+0
3y=-5x
3y+5x=0
Answer:
(6y - 1)(6y + 1)
Step-by-step explanation:
To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.
Such that
a² - b² = (a - b) (a + b)
Hence 36y² - 1
= 6²y² - 1²
= (6y)² - 1²
= (6y - 1)(6y + 1)
Answer:
The value of the missing angle, x° is 115°
Step-by-step explanation:
The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon
The number of sides in the given polygon, n = 10 sides
Therefore;
The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°
The given angles of the polygon are;
107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°
Therefore, we have;
107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°
x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°
The value of the missing angle, x° = 115°.
Answer:
Step-by-step explanation:
It takes 1/2 hours to drive from A-ville to B-town. It takes three-fifths of the time it takes to drive from A-ville to B-town to drive from B-town to C City.
To drive from B-town to C City, it will take:
1/2 * 3/5
= 3/10 hours
