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3 years ago

What is the slope line passing through the points (2, 5) and (-1, -4) Show all of your work.

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

<h2>The slope m = 3</h2>

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 5) and (-1, -4). Substitute:

$m=\dfrac{-4-5}{-1-2}=\dfrac{-9}{-3}=3$

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The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the

yawa3891 [41]

Answer:

11.7

Step-by-step explanation:

A^2+b^2=c^2

x^2+15^2=19^2

6 0

3 years ago

I need help with this homework to practice for a quiz may you please help me ?

laiz [17]

Answer:

set the equations equal to each other, the equations are equal. then find value of x

Step-by-step explanation:

5x+17=3x-4

solve from here

hope this helped boo;p

5 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

Examine the diagram. Triangle A B C. Side A C is parallel to a line. The line is at angle B. The angles formed by the line are 7

Marina CMI [18]

Answer:

alternate exterior angles m∠A =70 °

m∠B =80 °

m∠C =30 °

Step-by-step explanation:

8 0

3 years ago

Express 0.5401 in scientific notation

Ray Of Light [21]

Answer:

5.401×10^-1

Step-by-step explanation:

You move the decimal over one to get5.401×10^−1

6 0

3 years ago