<h2>Answer:
</h2>
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
We can put in 6 - 2x for y:
2x + y = 6
2x +(6 - 2x) = 6
2x + 6 - 2x = 6
6 = 6
Since this statement is true:
x and y are all real numbers.
Hope this helps!
X + y = 56 ------------------(1)
x:y = 5:3
x/y = 5/3
3 x = 5 y
so, x = (5/3)y---------------(2)
sub (2) in (1)
x + y = 56
(5/3)y + y = 56
5 y + 3 y = 168
8 y = 168
y = 168 / 8 = 21
x = (5/3) x 21
= 35
the value of x - y = 35 - 21
= 14
Yea you did. If you want further explanation let me know.
Answer:
y=12
Step-by-step explanation:
y is inversely proportional to x
y=k/x
k is a constant of proportionality
k=yx
y1x1=y2x2
8(9)=y2(6)
y2=8(9)/6
y2=12
