Straight lines can be divided into different segments
The value of DE is 23 units
We have:


Segment DF and EF have the same endpoint.
This means that, point E is located on segment DF
So, we have:

Substitute known values

Collect like terms


Hence, the value of DE is 23 units
Read more about line segments at:
brainly.com/question/15754081
This was kinda like Science
Answer:
3, 6, 9, 12
Step-by-step explanation:
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
Red color= 28 balloon
Blue color= 14 balloon
White color= 7 balloon
Step-by-step explanation:
Given: There are 49 balloons
As given, there are 2 red balloon equal to the number of blue balloon
∴ 
Again given, there are 1/2 white balloon equal to the number of blue balloon.
∴ 
As above equation, we can understand that:

multiplying both side by 2
⇒ 
which mean, if we have 2 blue balloon then we will have 4 red and 1 white balloon.
∴ Total combination of all color of balloon= 
Now, checking how many number of times combination can we have in 49 balloon.

Next, finding number of balloon in each color.
Red color= 
Blues color= 
White color= 