Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image
1 answer:
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached.
Slope is the change in coordinate of the y coordinate to the x coordinate.
Mathematically, slope m = ∆y/∆x
From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)
m = ∆y/∆x = 3/1
∆y/∆x = 3/1
y/x = 3/1
Cross multiply
y × 1 = 3 × x
y = 3x
Hence the slope of the line is y = 3x
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Answer:
The minimum sample size required is 207.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:
The margin of error of this confidence interval is:
Given:
*Use a <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
Thus, the minimum sample size required is 207.
The total length of the segment AC is the sum of AB and CB, which gives, CB = 9
<h3>How can the length of CB be found?</h3>The given parameters are;
- AC = 17
- AB = 32 + 3•x
- CB = 57 + 6•x
Required: <em>CB</em>
Solution:
AC = <em>AB + CB</em> by segment addition property
Therefore;
AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x
17 = 89 + 9•x
CB = 57 + 6•x = 57 + 6 × (-8) = 9
Therefore;
- <u>CB = 9</u>
Learn more about segment addition postulate here: brainly.com/question/1721582
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