Answer:

Step-by-step explanation:
Point B partitions AC in a 3:4 ratio.
B is located at (4,1) and C is located at (12,5).
Let
be the coordinates of A.
Then 
But m:n=3:4 implies m=3 and n=4 and 






Answer:
Step-by-step explanation:
1) In the first equation, - 4x was added to both sides of the equation. This is expressed as
6x - 4x + 9 = 4x - 4x - 3
2x + 9 = - 3
2) In the second equation, both sides of the equation was multiplied by - 1/4. This is expressed as
- 4 × - 1/4(5x - 7) = - 18 × - 1/4
5x - 7 = 4.5
3) In the third equation, - 4 was added to both sides of the equation. This is expressed as
8 - 10x = 7 + 5x
8 + (- 4) - 10x = 7 + (-4) + 5x
8 - 4 - 10x = 7 - 4 + 5x
4 - 10x = 5 + 5x
4) In the fourth equation, both sides of the equation was multiplied by - 4. This is expressed as
- 5x/4 × - 4 = 4 × - 4
5x = - 16
5) In the fourth equation, both sides of the equation was multiplied by 1/4x and 1/4. This is expressed as
12x × 1/4x + 4 × 1/4 = 20x × 1/4x + 24 × 1/4
3x + 1 = 5x + 6
<span>Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
<span>Multiply both top and bottom by that number.hope this helps :)</span></span>
Answer:
Width of the room = 5 meters
Step-by-step explanation:
the rectangular living room is calculated as length * width
The area is given to be equal to 40 sq. meters (area = 40 sq. meters)
Let the width = x meters
Length = X+3 meters
Area = Length * Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
So x = 5 or x= -8
Width cannot be negative, so we reject x =-8
So x = 5 is the answer