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UNO [17]
3 years ago
10

ABCD is a rectangle. What is the value of x?

Mathematics
2 answers:
ankoles [38]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

a² + 63² = 65²

a² + 3969 = 4225

a² = 256

a = 16

x = 16 meters

baherus [9]3 years ago
5 0

Answer:

B. 16 meters

Step-by-step explanation:

Use Pythagorean Theorem to find the value of x

63² + x² = 65²    Simplify

3969 + x² = 4225

-3969         - 3969     Subtract 3969 from both sides

x² = 256                     Take the square root of both sides

x = 16

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Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea
Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

<em>y''(t)</em> + <em>p(t)</em> <em>y'(t)</em> + <em>q(t)</em> <em>y(t)</em> = <em>f(t)</em>

so the first thing you need to do is divide both sides of your equation by <em>t</em> :

<em>y''</em> + (2<em>t</em> - 1)/<em>t</em> <em>y'</em> - 2/<em>t</em> <em>y</em> = 7<em>t</em>

<em />

You're looking for a solution of the form

y=y_1u_1+y_2u_2

where

u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt

u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt

and <em>W</em> denotes the Wronskian determinant.

Compute the Wronskian:

W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}

Then

u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t

u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}

The general solution to the ODE is

y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}

which simplifies somewhat to

\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}

4 0
3 years ago
Which is the value of the expression 4 / 1/8
miv72 [106K]

Answer: Your answer is going to be 32

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Pls help extra points and mark brainlist
MissTica

Answer:

20 + 35x

Step-by-step explanation:

We have the expression 5(4 + 7x) and are asked to distrbute it.

When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.

Therefore :

(5(4) + 5(7x))

20 + 35x

6 0
3 years ago
An online camping supplies outlet charges $14 for a canteen,
Vedmedyk [2.9K]

Answer:

Part A: 14x + 2

Part B: CJ's order is $30, and Cameron's order is $58.

Step-by-step explanation:

<u>Part A:</u> The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.

<u>Part B:</u>

CJ's Order:

14(2) + 2 =

28 + 2

$30

Cameron's Order:

14(4) + 2 =

56 + 2 =

$58

Hope this helps! :D

3 0
2 years ago
Please help !!!!!!!!!!!!
zhannawk [14.2K]

Answer:

25+40

Step-by-step explanation:

for the area of a triangle you multiple the base times the height. for the area of the square it is the length times width.

NOTE: to completely answer just add 25+40

6 0
3 years ago
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