Answer:

Step-by-step explanation:
Given
Points: (1, 9) and (9, 3)
Ratio = 2/3
Required
Determine the coordinate of the center
Represent the ratio as ratio

The new coordinate can be calculated using

Where



Substitute these values in the equation above



Hence;
<em>The coordinates of the new center is </em>
<em></em>
1:
E F and J K
2:
Point A to point B
question 3 to 5 i dont know the answer to
Answer:

Step-by-step explanation:
Given




See attachment
Required
Determine the density of the wood
First, we calculate the volume of the wood.

Substitute values for Length, Width and Height


The density is:


<em> --- approximated</em>
Answer:
15 and 1
Step-by-step explanation:
x and y are two numbers.
Two equations:
x · y = 15
x + y = 16
Rearrange one of the equations (I'll rearrange the sum equation):
x + y = 16
x = 16 - y
Substitute that to the other equation and solve for y:
x · y = 15
(16 - y) · y = 15
16 - y · y = 15
16 - y² = 15
-y² = 15 - 16
-y² = -1
y² = 1
y = √1
y = 1
Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):
x · y = 15
x · 1 = 15
x = 15
Now verify:
15 · 1 = 15
15 + 1 = 16
This is correct
Answer:
k = 
Step-by-step explanation:
The scale factor is calculated as the ratio of corresponding sides, figure on right to figure on left, that is
k =
=
← in simplest form