What is the value of the expression? −26−(6)2 Enter your answer in the box.
2 answers:
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Answer:
The coordinates of B are (-8,25).
Step-by-step explanation:
Consider the completer question is " M(−2, 10) is the midpoint of AB. If A has coordinates (4, −5), what are the coordinates of B".
Let coordinates of B are (a,b).
Formula for midpoint:
Midpoint of A and B is
It is given that M(−2, 10) is the midpoint of AB.
On comparing both sides we get
Multiply both sides by 2.
Subtract 4 from both sides.
The value of a is 8.
Similarly,
Multiply both sides by 2.
Add 5 on both sides.
Therefore, the coordinates of B are (-8,25).
Hope you could understand.
If you have any query, feel free to ask.
Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter , while the output, also known as dependent variable, is often indicated with the letter
.
With this notation, we write , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have , which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.