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Zielflug [23.3K]
2 years ago
9

A 20 meter ladder rests vertically against the side of a barn. A pig that has been hitched to the ladder starts to pull the base

of the ladder away from the wall at a constant rate of 0.4 meters per second. Find the rate of change of the height of the top of the ladder after 30 seconds.
Mathematics
1 answer:
kirill115 [55]2 years ago
7 0

Answer:

I hope my drawing explains well lol... h = 16

Step-by-step explanation:

So basically first you need to find x (the one in the drawing), by doing so, you just have to use the formula,

speed =  \frac{distance}{time}

You substitute in the speed and the time given,

0.4 =  \frac{x}{30}  \\ x = 12

Then, you use the Pythagorean theorem,

h =  \sqrt{ {20}^{2}  -  {12}^{2} } \\  h = 16

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Find the slope and write an equation with these to points (0,-2) (3,1)<br><br> plz explain
tatiyna

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

7 0
3 years ago
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The sum of 3 times the value of x and 2 is equal to four less than five times the value of x. Which equation can be used to find
bonufazy [111]

The question has omitted  options but i will solve, so you will just check my answer from the options you have.

Answer: The equation  to find the value of x = 3x+ 2= 5x-4

The value of x= 3

Step-by-step explanation:

Step 1

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as

3x+ 2= 5x-4

Step 2

Solving this equation  to find the value of x , we have that

3x+ 2= 5x-4

3x-5x= -4-2

-2x= -6

x= -6/-2

x=3

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9. PART A: Which of the following best summarizes
ivanzaharov [21]

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

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stich3 [128]
An outlier number is the number that's completely different from the rest.
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Your answer is A.)

I hope this helps!
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60 billetes de a 100 cuantos miles son
vladimir1956 [14]
Si multiplicas 60 por 100 obtienes 6000 por lo que hay 6 mil
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