Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that 
, 
and 
, then the coordinates of the image of the original point is:
![\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]](https://tex.z-dn.net/?f=%5Cvec%20P%27%20%3D%20%280%2C0%29%20%2B3%5Ccdot%20%5B%281%2C-2%29-%280%2C0%29%5D)
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Answer:
((1 4/5) feet) + ((1 5/8) feet) =
3.42500 feet (3 feet 53⁄32 inches)
Step-by-step explanation:
((1 4/5) feet) + ((1 5/8) feet) =
3.42500 feet (3 feet 53⁄32 inches)
Answer:
8 ft²
Step-by-step explanation:
Given 2 similar triangles with ratio of sides = a : b, then
ratio of areas = a² : b²
Here the ratio of sides = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ EFG, then by proportion
= 
( cross- multiply )
9x = 18 × 4 = 72 ( divide both sides by 9 )
x = 8
The area of Δ EFG is 8 ft²
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
It is the symmetric property
