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Lelechka [254]
3 years ago
9

If x is the first of two consecutive integers, express the sum of the two integers in terms of x

Mathematics
2 answers:
makkiz [27]3 years ago
7 0

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

inna [77]3 years ago
6 0

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

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A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is
Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

\Delta s = s_2-s_1

And apply it to get the horizontal and vertical displacements.

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Using the definition of displacement, we can write the horizontal displacement as

\Delta x = x_2-x_1

So we can use the given points P1:(x_1,y_2)  \text{  and  } P_2: (x_2,y_2) on the displacement formula

\Delta x = 15-4\\\Delta x = 11

In the same manner we can look at the y components of those points to find the vertical displacement

\Delta y = 17-8\\\Delta y =9

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

\tan(\theta) = \cfrac{\Delta y}{\Delta x}

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\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)

Replacing values

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\theta = 39.3^\circ

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When the result of the column a\Rightarrow b takes value 1 (true), the result of the column  \neg a\Rightarrow b is not always 1, then the statement is false.

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