using proportional law 5.6
Answer:
.
Step-by-step explanation:
Let 
and 
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that 
whereas 
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint: 
.
-coordinate of the midpoint: 
.
Solve these two equations for 
and 
: 
whereas 
.
Hence, the coordinate of the other point would be .
Answer:
y = 1/2x -1.5
Step-by-step explanation:
The equation of a line is typically written as y = mx + b.
m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.
Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.
y = 1/2x + b
In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.
-3 = 1/2(-3) + b
One half of -3 is -1.5.
-3 = -1.5 + b
Add -1.5 to both sides of the equation.
-3 = -1.5 + b
+1.5 +1.5
-1.5 = b
Since we found the y-intercept, we can now place it into our equation.
y = 1/2x -1.5 and that's the answer!
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
= k = 2.25
z = 2.25xy ← equation of variation
(4.9675) rounded to the nearest thousandth is 4.968.
