Answer:
x = 4
Step-by-step explanation:
2.5x +6 = 3.25x +3
-2.5x -2.5x
6 = 0.75x +3
-3 -3
3 = 0.75x
divide by 0.75 both sides
4 = x
or
x = 4
Hi there! The third option shows us the best setup.
We can find the area of a triangle with the standard formula area = 1/2 * base * height.
To be able to fill in this formula, we need to have a base and a height. We can't easily find a triangle with given base and height, so we must look for another option.
We can also take the area of a square (length × width) and then divide the answer by 2. This is possible when we take the third setup. Hence the third answer is correct.
Answer: No slope / undefined
Step-by-step explanation:
Concept:
Here, we need to know the idea of a slope.
The slope is the measure of the steepness of a line.
The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)
If you are still confused, please refer to the attachment below for the full formula.
Solve:
(7 ,1)
(7, -2)
Slope = (1 - (-2)) / (7-7)
Slope = (3) / 0
Slope = Undefined
Indeed, it is a vertical line. By definition, a vertical line has no slope.
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
Answer:
3. positive correlation but not causal relationship
Step-by-step explanation:
A positive correlation is when one factor increases, the other factor increases as well.
A negative correlation is when one factor increases, the other factor decreases.
A causal relationship is when one factor <em>causes </em>the other factor change in a certain way (i.e. increase or decrease).
More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.
I hope this helps! If you have any question, feel free to as. :)