The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
<h3>Translation of shapes in the Cartesian plane</h3>
Form the task content;
- It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.
The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
Read more on translation in the Cartesian plane;
brainly.com/question/5471952
Answer:
(23/27, 11/9)
Step-by-step explanation:
Given the simultaneous equation;
-6x+5y=1..... 1
6x+4y=10.... 2
Add both equations
5y + 4y = 1+10
9y = 11
y = 11/9
Substitute y = 11/9 into 1;
From 1;
-6x+5y=1.
-6x + 5(11/9) = 1
-6x + 55/9 = 1
-6x = 1- 55/9
-6x = (9-55)/9
-6x = -46/9
x = -46/-54
x = 23/27
The solution to the system of equation is (23/27, 11/9)
The dimension of the rectangular box is 60cm x 45cm x 32cm. The dimension of the wood used has the thickness of 2.5 cm all around the rectangular box. In order to get the volume of the wood, subtract each side of the rectangular box by 2.5.
Volume = 57.5 cm x 52.5cm x 29.5cm
Volume = 89053.1252 cm^3
Answer:
J
Step-by-step explanation:
Answer:
Option b
Step-by-step explanation:
To write the searched equation we must modify the function f (x) = | x | in the following way:
1. Do y = f(x + 4)
This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.
y = | x +4 |
2. Do 
This operation horizontally expands the function f (x) = | x | in a factor of 4 units. 
3. Do 
This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.
4. After these transformations the function f(x) = | x | it looks like:
Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)
