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Sergeeva-Olga [200]
3 years ago
8

The final velocity (v) is given by the formula v = v0 + at, where v0 is initial velocity, v is final velocity, a is acceleration

, and t is time. A car moving at an initial velocity of 20 meters/second accelerates at the rate of 1.5 meters/second2 for 4 seconds. The car’s final velocity is meters/second.
Mathematics
1 answer:
Alona [7]3 years ago
3 0
For this case we have the following equation:
 v = v0 + at
 Where, we have the following values:
 v0 = 20 meters / second
 a = 1.5 meters / second2
 t = 4 seconds
 Substituting values we have:
 v = 20 + (1.5) * 4
 v = 26 meters / second
 Answer:
 
The car's final velocity is:
 
v = 26 meters / second
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In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and
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Answer:

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Step-by-step explanation:

If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

... For MN║BC, perimeter ΔAMN = perimeter ΔABC - BC = AB+AC

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Wow! Thank you for an interesting question with a not-so-obvious answer.

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<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

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8 0
3 years ago
Need help please help me
Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

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Answer:

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