Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
By Pythagoras’ theorem,
BD square= AB square + BC square
BD square= 3.15 square + 1.77 square
BD Square=13.0554
BD= square root 13.0554
BD=3.61 (to 3sf)
Complete Question
The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio
Answer:
3
Step-by-step explanation:
The formula for Number of term of a GP = ar^n-1
The sum of 3rd and 4th terms of GP is 108
ar² + ar³ = 108... Equation 1
ar²(1+ r) = 108 ..... Equation 1
The sum of 4th and 5th term of the same GP is 324 ,
ar³ + ar⁴= 324... Equation 2
ar³ (1 + r) = 324..... Equation 2
find common ratio
ar²(1+ r) = 108 ..... Equation 1
ar³ (1 + r) = 324..... Equation 2
Solving for r
ar²(1+ r)/ar³ (1 + r) = 108/324
1/r = 1/3
r = 3
Hence, Common ratio = 3