4x + 2y = 8 (1)
8x + 4y = -4y (2)
A) Two lines are parallel if they have the same gradient
- putting both equations into the gradient- intercept form ( y = mx + c where m is the gradient)
(1) 4x + 2y = 8
2y = 8 - 4x
y = -2x + 4
(2) 8x + 4y = -4y
<span> </span>8x = -4y - 4y
y =

y = -x
<span>
Thus the gradient of the two equations are different and as such the two lines are not parallel</span>
B) When two lines are perpendicular, the product of their gradient is -1

p = (-2) * (-1)
p = 2
<span> ∴
the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES
The line g(x) has slope ...
(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.
Answer:
21
Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.
3/9 = x/36
Now cross multiply
108 = 9x
X = 12
Answer:
x = 5 and value of y = 2
Step-by-step explanation:
using substitution method
let;
x + 4y = 13...................... equation 1
x - y = 3............................... equation 2
from equation 2
x - y = 3.................................... eqn 2
x = y + 3.......................................... equation 3
put x = y + 3 in equation 1
x + 4y = 13...................... equation 1
y + 3 + 4y = 13
5y = 13 - 3
5y = 10
divide both sides by 5
i.e
5y/5 = 10/5
y = 2
sustitue for y = 2 in equation 3
x = y + 3.......................................... equation 3
x = 2 + 3
x = 5
therefore the value of x = 5 and value of y = 2
to check if your answwer is correct slot in the value of x and y in any of the equation . e.g
from equation 3
x = y + 3.......................................... equation 3
5= 2 + 3
5 =5....................... proved