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3 years ago

What is the equation of the graph shown above

Mathematics

2 answers:

alukav5142 [94]3 years ago

5 0

The correct answer is D (3x - 4y = 4)

Explanation:

Let (x1, y1) be (0, -1) and (x2, y2) be (-4, -4).

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y + 1 = (- 4 + 1)/(- 4 - 0) * (x - 0)
y + 1 = (-3)/(-4) * x
y + 1 = (3/4)x
(y + 1) * 4 = 3x
4y + 4 = 3x
4 = 3x - 4y
3x - 4y = 4

Ksenya-84 [330]3 years ago

3 0

I believe the answer is B

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Find a particular solution to y" - y' + 9y = 3 sin 3x

Dima020 [189]

Answer:

cos3x

Step-by-step explanation:

y" - y' + 9y = 3 sin 3x

$D^{2}y-Dy+9y=3 sin3x$

$y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x$

here $D^2$ will be replaced by $\alpha^2$ where $\alpha$ is coefficient of x

$y=\frac{3 sin 3x}{-3^{2} -D+9}$

$y=-3\frac{sin 3x}{D}$

$y=-3\int\ {sin 3x} \, dx$

$y=-3\frac{cos3x}{-3}$

y=cos3x

hence Particular solution is cos3x

6 0

3 years ago

An instructor at an army base wants to know if a new program that teaches gun safety is effective. Which procedure would be the

Andrej [43]

Answer:

An instructor at an army base wants to know if a new program that teaches gun safety is effective is described below in brief details.

Step-by-step explanation:

Although of your shooting practice, the handgun safety program illustrates the center fundamentals of handgun protection so that you can tour the range with courage and with safety in the brain. Study how to accurately control, transport, and deposit your handgun, as well as how to keep children secure around handguns.

8 0

3 years ago

~~~15 POINTS~~~<br> Please help me with this question.

Step2247 [10]

Divide the actual building's measurements by the replica's measurements.

$\frac{400}{20}=20\\\\\frac{320}{16}=20$

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The crew member's calculation is incorrect.

7 0

3 years ago

Graph by using the slope and the y intercept.

Mashutka [201]

1. a) equation of the line :

$y = \dfrac{2}{5}x - 7$

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

$y = (\dfrac{2}{5} \times 5) - 7$

$y = 2 - 7$

$= - 5$

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

$y = - 3x + 5$

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

$y =( - 3 \times 1) + 5$

$y = - 3 + 5$

$y = 2$

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

6 0

3 years ago

Which pairs of angles are alternate interior angles? Select all that apply.

andrezito [222]

<h3>Answers: Choice A and Choice C</h3>

Explanation:

Think of the vertical lines as train tracks (the metal rails).

Stuff between the rails are interior angles.

Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.

Alternate interior angles are congruent when we have parallel lines like this.

7 0

2 years ago