Answer:
The scale factor is

Step-by-step explanation:
Line segmentAB has vertices A(−3, 4) and B(1, −2) .
A dilation, centered at the origin, is applied to AB. The image has vertices
A'(-1,4/3) and B′(1/3, −2/3) .
We know the rule for dilation by scale factor of k, is

This means that;

But we know, A' has coordinates (-1,4/3)
This means that


We could also compare:
4k=4/3
Which gives
k=⅓
The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.
<u>Solution</u>
Total number of marbles = 47
The number of marbles received by each child = 6
Let the number of children be x
Then according to the question'
Total number of marbles received by all children + 5 = Total number of marbles
6x + 5 = 47
6x = 47- 5
6x = 42
x = 7
now, the number of children is 7.
<h3>What is linear equation in one variable?</h3>
- An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
- A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
- Here, the variables x and y, the coefficients A and B, and the constant C are all present.
- A linear equation's graph will always be a straight line.
- One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.
Know more about linear equation brainly.com/question/12974594
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Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question

Where we taking 2 negative because temperature decreases.





Hence, it will take 7 hours for the temperature to reach -19° F.
The answer is 26, 27, and 28
Answer:
1. 13+10i
2. 28-(-4i)
3. -14-1i
4. 4 -i
5. 15+ 10i
6.8 - 5i^2
Step-by-step explanation: