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2 years ago

What is the slope of the line x = 4?

Mathematics

2 answers:

Sholpan [36]2 years ago

4 0

Undefined. Because it doesn’t have a slope.

kondor19780726 [428]2 years ago

3 0

Answer: The slope of the line x = 4 is undefined. This is because the line x = 4 is a vertical line.

The x-intercept is (4,0)

Step-by-step explanation:

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Line 1 passes through the points (-4, -6) and (12,2). line 2 passes through the points (-6,-2) and (-2,0). Do the lines intersec

kifflom [539]

The lines dont intersect

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2 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

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2 years ago

Help for this equation :<br><br> a+5= -7<br><br> What is the answer?

Sophie [7]

Hey! a+5=7 means that a is the variable, while seven is the answer. My technique is like this: 7-5=2 You need to subtract the numbers you already have. This only works for addition! Hope this helps :) !

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zaharov [31]

Answer:

Answer: 60%

Step-by-step explanation:

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Choose the best description for graphing y = 3x - 5 using the slope and the y-intercept.

expeople1 [14]

3 is the slope, (0,-5) is the y-intercept of the graph.

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2 years ago