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Lyrx [107]
3 years ago
14

9,16,21 is a right triangle

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer: Yes

Step-by-step explanation:

a right triangle is ... <u>9</u>, 12, 15, 40, 41. 10, 24, 26. 12, <u>16</u>, 12, 35, 37. 14, 48, 50. 15, 20, 25. 15, 36, 39. 16, 30, 34. 18, 24,  <u>21</u>, 29, 28, 35, 32, 40. 27, 36, 45. 40, 50

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If you toss 9 fair​ coins, in how many ways can you obtain at least one tail​?
maks197457 [2]
9/18 or 50% if you toss the coin because when you toss 1 coin you get a 1/2 chance of getting tails. Do that nine times and you get 9/18
3 0
3 years ago
A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.
Reptile [31]

Answer:

a.P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}

Step-by-step explanation:

We are given that a linear differential equation

y''+2y=e^{3x}+x^3

We have to find the particular solution

P.I=\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}

P.I=\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}

P.I=\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3

P.I=\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0} (higher order terms can be neglected

P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.Characteristics equation

D^2+2=0

D=\pm\sqrt2 i

C.F=C_1cos \sqrt2x+C_2 sin\sqrt2 x

G.S=C.F+P.I

G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)

3 0
3 years ago
Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?
Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c

Add and subtract the half of the square the coefficient of x,

\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c

Then we have

\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0
2 years ago
? points<br>Simplify completely :<br>5x - 20<br>9x - 36​
pantera1 [17]

Answer:

5/9

Step-by-step explanation:

4 0
3 years ago
Can you walk me through on how to do this
denpristay [2]

Answer:

h=v/πr²

Step-by-step explanation:

v=πr²h

v/π=r²h

v/πr²=h

3 0
3 years ago
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