The slope m of a straight line passing through points (x₁,x₂) and (y₁,y₂) can be calculated like this:
m = change in y-value / change in x-value
m = (y₂ - y₁) / (x₂ - x₁)
We are given the points as (7,r) and (4,6) and slope m=0 . Substituting these:
⇒m = 6 - r / 4 - 7
⇒0 = 6 - r / -3
∴ r = 6
Equation step-by-step:
Hope it helped,
BioTeacher101
(If you have any questions feel free to ask them in the comments)
Answer:
She saves $14.80
Step-by-step explanation:
11.25(4)=$45
5.98(10)=$59.80
59.80-45
14.8
Answer:
"moderate negative"
Step-by-step explanation:
When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.
When the trend is positive it means that one variable increases when the other also increases.
When the trend is negative it means that one variable decreases as the other increases ..
The relationship between both variables can be strong or weak.
If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).
If the relationship is weak, the points will be more and more scattered without any relation between them.
In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"
You can use ratio and proportion in this problem.
Segment DC / Segment CB = Segment ZY / Segment YX
2.3m / 4.2m = k / 8.4m
K = 8.4 (2.3 / 4.2)
K = 23/5 or 4.6 m
Answer= 4.6 m