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3 years ago

Using the slope and the y intercept, graph the line represented by the following equation.

Mathematics

2 answers:

PtichkaEL [24]3 years ago

4 0

Beforehand let me apologize for my sloppy handwriting. I'm a lefty, so please deal with me. . Anyway, the equation you listed didn't really have a x, because a linear equation is y= mx+b, and anything with x is the slope. But I did see y and a number on one side, so I'm like maybe I can get these two alone. So here's what I did:

2y + 4=0
-4 -4 I subtracted 4 on both sides. Why because you would want "y" alone.
Next,
2y= -4
Now to get "y" alone you want to divide on both sides.
2y= -4/ 2
y= -2
Now you're probably thinking "how do you graph it? There's no "x" in the equation." Well, you just graph it. Since the answer is y= -2, you go to the y axis, look for -2, and place a line to indicate that is the equation. And to make it clear, remember y is the y-intercept.

I really do hope this helps you, if not message me. I'll be happy to help, and again I'm sorry for my handwriting!

Pie3 years ago

3 0

I felt like doing this question also mark the person above me brainlest! :)

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Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equal

alexgriva [62]

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ( $V$ ), measured in cubic feet, is represented by the following formula:

$V = \frac{4\pi}{3}\cdot r^{3}$

Where $r$ is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

$\Delta V = \frac{\partial V}{\partial r}\Delta r$

The derivative of the volume as a function of radius is:

$\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}$

Then, the change in volume is expanded:

$\Delta V = 4\pi \cdot r^{2}\cdot \Delta r$

If $r = 40\,ft$ and $\Delta r = 40\,ft-40.05\,ft = 0.05\,ft$ , the change in the volume of the sphere is approximately:

$\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)$

$\Delta V \approx 1005.310\,ft^{3}$

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

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3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

bezimeni [28]

Answer:

Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

$t_{m}$ = time taken by motorcycle to travel distance between them

$v_{m}$ = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

$t_{m}$ = d/ $v_{m}$

$t_{m}$ =540/48

$t_{m}$ = 11.25 h

$t_{c}$ = time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

$v_{m}$ = speed of the motorcycle

speed of motorcycle is given as

$v_{m}$ = d/ $t_{m}$

$v_{m}$ = 540/9

$v_{m}$ = 60 mph

when the car and motorcycle move towards each other, the relative speed is given as

v = $v_{m}$ + $v_{c}$

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

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3 years ago

Give an example of tangents in the real world that have not been presented in this lesson.

german

Answer:

Hey! Sorry im too late lol but here-

Step-by-step explanation:

Example of tangent in the real world-

When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.

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The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.

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Step-by-step explanation:

Below is an attachment containing the solution.

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Vesnalui [34]

Answer:

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2 years ago