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3 years ago

Suppose a line L has an equation Ax + By + C = 0.

Mathematics

1 answer:

kow [346]3 years ago

3 0

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Which two numbers add up to 5 and multiply to -84

11111nata11111 [884]

The answer is 12 and -7.

12 * -7 = 84

12 + -7 = 5

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3 years ago

Find the area of the trapezoid.

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

(Top bottom plus bottom bottom )× height divided by 2

(4+6)*6÷2=36

5 0

3 years ago

Read 2 more answers

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Finger [1]

Answer:

$m=55h$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

$k=55\ \frac{miles}{hour}$ ----> the speed

substitute

$m=55h$

8 0

3 years ago

ALGUEMMM ME AJUDAAA POR FAVORRR!!!!!!!!!!!!!!!!!!!

Amanda [17]

Answer:

50)

a. + 13

B. +10

C. -15

D. -5

Step-by-step explanation:

8 0

3 years ago

Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)

Nikitich [7]

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)

y' = (b - a x) sin(x) + (a + b x) cos(x)

and

y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

4 0

2 years ago