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sp2606 [1]
3 years ago
14

What is the greatest common factor of 2x+3ay+ax+6y

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

  1

Step-by-step explanation:

The notion of "common factor" suggests that a factor is part of each term. Here, 1 is the only common factor.

__

However, the expression can be factored as ...

  x(2 +a) +3y(2 +a) = (x +3y)(2 +a)

If there were a common factor, it would appear outside the binomial factors. The value 1 is always present, but rarely shown.

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Find the function r that satisfies the given condition. r'(t) = (e^t, sin t, sec^2 t): r(0) = (2, 2, 2) r(t) = ()
lesantik [10]

Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

-1+c = 2

c = 3

Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

6 0
3 years ago
ILL GIVE BRAINLIEST AND THANKS HELP
Elanso [62]

Answer:

iIm sorry dont report but i do not understand what im answering, but ill take the points thank you

7 0
3 years ago
25 - 7 + r<br> Solve the equation.
otez555 [7]

Answer:

25-7-r

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7 0
3 years ago
Read 2 more answers
The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was
wlad13 [49]

Answer:

  • P = -390t +48,000
  • P = 43,710 in 2003

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

7 0
3 years ago
Two triangles with the same corresponding side lengths will be congruent.
OleMash [197]
If Its A True or False Question, It'd Be "True"
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3 years ago
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