Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
![A=(n-3)2\ units^2](https://tex.z-dn.net/?f=A%3D%28n-3%292%5C%20units%5E2)
![A=(2n-6)\ units^2](https://tex.z-dn.net/?f=A%3D%282n-6%29%5C%20units%5E2)
Step-by-step explanation:
we know that
The area of rectangle is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
where
L is the length of rectangle
W is the width of rectangle
In this problem we have
![L=(n-3)\ units\\W=2\ units](https://tex.z-dn.net/?f=L%3D%28n-3%29%5C%20units%5C%5CW%3D2%5C%20units)
substitute
![A=(n-3)2\ units^2](https://tex.z-dn.net/?f=A%3D%28n-3%292%5C%20units%5E2)
Apply distributive property
![A=2(n)-2(3)](https://tex.z-dn.net/?f=A%3D2%28n%29-2%283%29)
![A=(2n-6)\ units^2](https://tex.z-dn.net/?f=A%3D%282n-6%29%5C%20units%5E2)
Answer:
Image 1
Step-by-step explanation:
To answer this question, we need to know how to use a box plot.
I've attached an image that demonstrates this well and can teach you what each part of the box plot means.
Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.
With this, we can analyze each box plot and determine which one is correct.
<em><u>Box Plot 1: </u></em><em>Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.</em>
<u>Box Plot 2:</u> Everything plotted correctly EXCEPT maximum of 48 is represented at 46.
<u>Box Plot 3:</u> Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.
<u>Box Plot 4:</u> Upper quartile represented at 39 and maximum represented at 46 are both incorrect.
Answer:
19 dollars per student
Step-by-step explanation:
C is right. She has partially completed the construction. Her next step is to use the arc markings to determine the radius to construct the circle.