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Rainbow [258]
2 years ago
14

Geometry, please answer question ASAP

Mathematics
1 answer:
Blababa [14]2 years ago
6 0

9514 1404 393

Answer:

  D.  13.8

Step-by-step explanation:

FE being the midsegment means E is the midpoint of BC. The midpoint divides the segment into two equal parts, so BE = EC = 6.9. The length BC is the sum of those parts:

  BC = BE +EC = 6.9 +6.9 = 13.8

The length of BC is 13.8 units.

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(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of his dog. write and solve a subtraction equation to f
azamat
I hope this helps you




dog-24,4=10,4


dog=34,8
7 0
3 years ago
If the zeros are 8 and 1/2, what are the factors?
timurjin [86]

Answer:

Step-by-step explanation:

Factors :  (x - 8) (x- 1/2)  or

(x - 8 ) (2x - 1)

Equation: (x - 8)(2x - 1) = x*2x + x*(-1) -8*2x -8*(-1)

= 2x² -x -16x + 8

=2x² -17x + 8

5 0
3 years ago
Helpppp please... need to get this doneeee
Nezavi [6.7K]

Answer:

if this is iready

Step-by-step explanation:

the answer is

the third one

3 0
3 years ago
Will give BRAINLIEST <br><br> Please show work.
vladimir2022 [97]

Answer:

I think it's A 102.4 g/cm3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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