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3 years ago

I need help with my ixl ..

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

Answer:

The measure of angle E is 45 degrees

Step-by-step explanation:

To get the measure if angle E, we use the appropriate trigonometric ratio

From the question, EF is the hypotenuse since it faces the right angle

EG is adjacent to angle E

so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse

This trigonometric ratio is the cosine

It is the ratio of the adjacent to the hypotenuse

Thus,

we have it that;

Cos E = EG/EF

cos E = 6√26/12√13

E = arc Cos ( 6 √26/12 √13)

E = 45 degrees

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2 years ago

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

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Then, replacing the derivatives in the equation we have:

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Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

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3 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$