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snow_tiger [21]
3 years ago
7

[ Will give brainliest! ]

Mathematics
1 answer:
algol133 years ago
3 0
The answer is C
If the two chords intersect each other, that means that they must both be diameters. That means that JL + NL has to be equal to KL + ML. Because they are both diameters, they both have to be equal to each other. The only choice that satisfies this condition is C where both of the diameters are 16 in long.

Hope this helps :)
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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
What is the rate at which work is done on the refrigerator? carnot?
taurus [48]
Work done = Force x Distance
Work done = Energy converted
6 0
3 years ago
Elaine and Rocco shared a bag of popcorn Rocco are 5/8 of the bag Elanie ate 1 3/8.how much popcorn did Elanie and Rocco eat in
amid [387]
2 bags, because when you add 5/8 and 1 3/8 you get 1 8/8 which is really 2
7 0
3 years ago
PLS HELP IM FAILING MATH!
oksano4ka [1.4K]

Answer:

1. Never true

2. Never true

3. Bad question!  Typo? (see discussion below)

4. Always true

5. Always false

Step-by-step explanation:

1. x - 13 = x + 1.  Subtract  x  from both sides of the equation, and you get -13 = 1.  False!  (Never true!)

2.  x + 1/2 = x - 1/2.  Subtract x from both sides:  1/2 = - 1/2.  False! (Never true!)

3. This one's weird, with two equal signs.  That's not unusual; multiple equal signs are often used when a chain of equalities is being displayed.  For instance, you can write  (3)(2x + 5) = (3)(2x) + (3)(5) = 6x + 15.  That's an example of the Distributive Property--the 3 is multiplied by both of the terms inside parentheses (shown after the first equal sign), then actually doing those multiplications produces the expression after the second equal sign.

OK!  This question says 2(x + 3) = 5x = 6 - 3x.  Take it in two parts.

a. 2(x + 3) = 5x   Distribute the 2.

2x + 6 = 5x   Now subtract 2x from both sides.

6 = 3x   Divide both sides by 3.

2 = x  So that first part is true only when x = 2.  Gaa!  That's not one of your answer choices.  Now, check out the second part

b.  5x = 6 - 3x  Add 3x to both sides.

8x = 6   Divide by 8

x = 6/8 = 3/4

It doesn't help to use the first and <u>third</u> expressions, either.

2(x + 3) = 6 - 3x   Distribute the 2

2x + 6 = 6 - 3x  Add 3x.

5x + 6 = 6   Subtract 6.

5x = 0   Divide by 5

x = 0

None of these is always false.  None of these is always true.

4.  x - 3 = 2x - 3 - x   Simplify the right side by combining the x terms.

x - 3 = x - 3  Aha!  Same expression on both sides!  Always true

5.  3(x - 5) = 2(x - 5) + x  Distribute the 3. Distribute the 2.

3x - 15 = 2x - 10 + x  Combine the x terms on the right.

3x - 15 = 3x - 10  Subtract 3x

-15 = -10  (Always false!)

7 0
2 years ago
Someone help please
fiasKO [112]

It is 4pi/7, or b. Just want to help ;)

4 0
2 years ago
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