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Karo-lina-s [1.5K]
3 years ago
5

Find the value of x and y.

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

x = 30

y = 2

Step-by-step explanation:

Please note: the value for x is correct only if this triangle is a right triangle.

This can be solved because 2(5y) = 20 and because if a triangle has all congruent angles then its side lengths are also congruent.

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Express your answer as a polynomial in standard form.
andrezito [222]
I personally don’t know the answer so i can’t help
4 0
3 years ago
Please help me with the below question.
Snezhnost [94]

6a. By the convolution theorem,

L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}

6b. Similarly,

L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}

7. Take the Laplace transform of both sides, noting that the integral is the convolution of e^t and f(t).

\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau

\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)

where g(t) = e^t. Then G(s) = \frac1{s-1}, and

F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}

We have the partial fraction decomposition,

\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)

Then we can easily compute the inverse transform to solve for f(t) :

F(s) = -\dfrac1s + \dfrac4{s+3}

\implies \boxed{f(t) = -1 + 4e^{-3t}}

6 0
1 year ago
What is the total of 9X56
Ivahew [28]

Answer:

504

Step-by-step explanation:

<u>Step 1:  Multiply</u>

<u />9 * 56

504

Answer:  504

5 0
3 years ago
Find the length of the missing leg of a right triangle whose hypotenuse measures 15 cm and whose other leg measures 13 cm. geome
Jet001 [13]

Answer:

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3 0
3 years ago
Which equation exemplifies the commutative property of addition???
Vitek1552 [10]

Commutative property is "a + b = b + a"

Therefore your answer is 1. 5 + 6 = 6 + 5

3 0
3 years ago
Read 2 more answers
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