The approximate length of line segment XY is 20.8 units
<h3>
How to calculate the distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
A = √(x2-x1)²+(y2-y1)²
Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;
XY = √(5+12)²+(6+6)²
XY = √(17)²+(12)²
XY = √269 + 144
XY = 20.8
Hence the approximate length of line segment XY is 20.8 units
Learn more on distance formula here; brainly.com/question/661229
Answer:
<h2>
4076.56</h2>
Step-by-step explanation:
First we need to calculate the James monthly charges on his balance of 4289.
Using the simple interest formula;
Simple Interest = Principal * Rate * Time/100
Principal = 4289
Rate = 5%
Time = 1 month = 1/12 year
Simple interest = 4289*5*1/12*100
Simple interest = 21,445/1200
Simple interest = 17.87
<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>
The balance on his credit card one year from now = Principal - Interest
= 4289 - 214.44
= 4076.56
The balance on his credit card one year from now will be 4076.56
Answer:
80% off
Step-by-step explanation:
(0.15 - 0.75)/0.75 = -0.8 = -80%
Hi!
The graph shows an A) Maximum
A Maximum value appears in a graph when all other values of the polynomial are smaller in value i.e. are under it in an X-Y plot. This is expressed mathematically as:
There is a maximum if for a given x*: f(x*) ≥ f(x) for all x.
In the graph, you can clearly see that there is a value that is higher than all the others, so this value is a Maximum.
Using the Vertical Line Test, the graph does not represent a function is ellipse, the third graph.
<h3>What is vertical line test?</h3>
The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.
Any vertical line in the x y plane must intersect the graph of a function at most once.
In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.
From the given graphs, the third graph which is of ellipse crosses the vertical line twice.
Thus, the graph does not represent a function is ellipse.
Learn more about vertical line test.
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