Solve for x. The polygons in each pair are similar.
1 answer:
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X-intercept - (9/4, 0)
Y-intercept - (0, 3)
Y-intercept - (0, 3)
Answer:
(a) The amount of ice cream increase as temperature increases
(b)
--- equation
--- y intercept
--- slope
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The relationship between the variables
From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.
In other words;
The amount of ice cream increase as temperature increases
Solving (b): The line of best fit
First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).
From (2), we select any 2 points on the line:
The slope (m) is:
So, the line of best fit is:
Substitute known values:
The y-intercept is when
So, we have:
Step-by-step explanation:
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
Here a^2 is 9, b^2 is 4.
So our foci is
and