2 lines in a plane can have these positions:
i) they can be
parallel, if they share no common point.
ii) are
intersecting, if they have one common point.
ii) they are
coincident if they have 2 common points.
AB and EB share 1 common point, B, therefore they are
Coincident.
<span>Draw a net of the polyhedron.Calculate the area of each face.<span>Add up the area of all the faces.</span></span>
I would like for you to be a bit more specific in your question, but, generally, congruent figures have both angles and sides measurements equal to each other. This means that they have to be of the same shape too. So if you know that one side of a figure is 5 units, for example, then the same side of another congruent figure is also going to be 5 units.
Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
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