Answer:
The answer will be listed below.
Step-by-step explanation:
First of all, you want x to by itself, so distribute the three to both x and negative 4 so you'll get 3x-12=2x+6.
Now, subtract 2x from both sides and add 12 to both sides and you'll get an answer of x=19. From that, you are able conclude that this equation has one solution.
Te sample space is s= {1,2,3,4,5,6}
PQ shows the height of the triangle from its base
As P is the highest point of the triangle
and Q lies on the base of the triangle
So PQ is the height of the triangle
And the height of any triangle is also known as the altitude of the triangle
So
PQ is nothing but the Altitude of this triangle
So option D is correct
Altitude
Answer:
see the attachment for the graph
Step-by-step explanation:
Since all you want is the graph, it is convenient to use a graphing program to produce it.
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You will notice that the point on the circle is 4 units over and 3 units up from the center.* This tells you the square of the radius is 4²+3² = 25. You only need to know this if you're using a graphing calculator to plot the equation ...
(x +4)^2 +(y -1)^2 = 25
If you're graphing this by hand, you can set your compass to the distance between the plotted points, as we have done in our graphing program.
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* Hopefully, you recognize these (4 and 3) as the legs of a 3-4-5 right triangle, so you know immediately that the radius is 5. Even if you don't, you can figure it using the Pythagorean theorem, as we have done above.
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The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2