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krek1111 [17]
2 years ago
7

PLEASE DO NUMBER 1 SHOW WORK TOO PLEASE

Mathematics
1 answer:
kirill [66]2 years ago
6 0

Answer:

A) False - not a right angle

B) True - it is a right angle

C) True - it is a right angle

D) False-not a right angle

Step-by-step explanation:

A) a*a+b*b=c*c (Asquared+Bsquared=C squared)

    2*2+ 3*3 = 4*4

   4+9=16

    13 does not equal 16

B) 5*5+12*12=13+13

  25+144=169

  169=169 - True

C) 3*3+4*4=5*5

    9+16=25

     25=25 (True)

D) 4+ Root of 3 = Root of 19

    False - square root of a prime number is irrational

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Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral
MAVERICK [17]

Answer:

a. \frac {2} {s-1} converges to s> 1.

b. \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. - \frac {2}{s + 3} converges to s> - 3.

d. \frac {s}{s^2 + 25} converges to s> 0.

e. \frac {10} {s^2 + 1} converges even s> 0.

f. \frac {12}{s^2 + 4} converges to s> 0.

g. -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. \frac {1} {s ^ 2 + 4} converges to s> 0.

Step-by-step explanation:

a. L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1} converges to s> 1.

b. L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)} converges to s> 5.

c. L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3} converges to s> - 3.

d. L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25} converges to s> 0.

e. L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1} converges even s> 0.

f. L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4} converges to s> 0.

g. L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4} converges to s> 0.

h. L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4} converges to s> 0.

7 0
3 years ago
2d + 3 when d =8 ​<br> im stuck on this question on a paper due monday!
xeze [42]

Answer:

19

Step-by-step explanation:

2d + 3

d = 8

2(8) + 3

multiply 2 and 8

16 + 3

add 16 and 3

= 19

4 0
2 years ago
Find the difference 3/4(3x+6)−14(5x−24)
PolarNik [594]
The answer is -271/4x + 681/2

7 0
3 years ago
8,326 x 9 =n<br>which is the answer?<br>A. 52,234<br>B.74,934<br>C.2,376<br>D.3008<br>E. none​
Kazeer [188]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How can you prove a triangle is isosceles?
tatiyna
You can prove a triangle is isosceles by finding the amount of right angles in a triangle. A triangle containing 2 right angles is classified as isosceles.
8 0
3 years ago
Read 2 more answers
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