How can you evaluate 2º?

Given :

A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.

By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.

To Find :

How fast is the top of the ladder sliding down the wall.

Solution :

By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.

Now, [tex]x^2 + y^2 = 13^2[/tex]

Differentiating both sides, we get :

[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]

Answer:

y = -1/2x + 13/2

Step-by-step explanation:

The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos

Answer:

top right and bottom left

Step-by-step explanation:

im in precal and if i get this wrong i am so sorry

but im pretty sure those r what increasing graphs look like as the increase in a positive direction

hope this is correct and helps :)

Answer:

9

Step-by-step explanation:

Answer:

Its an increase

1 ft difference

increasing i believe

Answer:

D) 3cm/s

Step-by-step explanation:

Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.

Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.

Therefore, the answer is D, 3cm/s.

Hope that helps!

The system of equations represented by the graph are

y = 2x + 3 and y = (-1/2)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of one line on the graph.

y = mx + c

Select two coordinates from the line.

(0, 3) and (-3, -3)

m = (-3 - 3) / -3 = -6/-3 = 2

(0, 3) = (x, y)

3 = 0 + c

c = 3

The equation of the line is y = 2x + 3

The equation of the other line on the graph.

y = mx + c

Select two coordinates from the line.

(0, -3) and (2, -4)

m = (-4 + 3) / 2 = -1/2 = -1/2

(0, -3) = (x, y)

-3 = 0 + c

c = -3

The equation of the line is y = (-1/2)x - 3

Thus,

y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

a) The cost of producing 40 pretzels is $656

The income for selling 40 pretzels is $116

b) They sold 90 pretzels

c) They must sell 240 pretzels to break-even

Step-by-step explanation:

Linear Models

A linear model is an equation that describes a relationship between two quantities that have a constant rate of change.

One of the most-used equations of linear models is the slope-intercept form, written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

The total cost of producing soft pretzels is divided into two parts:

* A fixed cost of $648 to set up their stand for the entire regatta.

* A variable cost of $0.20 per each pretzel.

Thus, the cost function can be written as:

C(x)=648+0.20x

Where x is the number of pretzels produced.

The students sell each pretzel for $2.90. This means the income (revenue) function for selling x pretzels is:

R(x)=2.90x

a) The cost of producing x=40 pretzels is:

C(40)=648+0.20*40

C(40)=648+8

C(40)=656

The cost of producing 40 pretzels is $656

The income is:

R(40)=2.90*40=116

The income for selling 40 pretzels is $116

b) If the income from selling pretzels is R=$261, then:

2.90x=261

Solving for x:

x = 261/2.90

x = 90

They sold 90 pretzels

c) To break-even the total cost and the income must be equal:

2.90x=648+0.20x

Subtraction 0.20x:

2.70x=648

Dividing by 2.70:

x = 648/2.70

x = 240

They must sell 240 pretzels to break-even

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

Answer:

the slope intercept equation for this line would be y = x - 8

Step-by-step explanation:

the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8

Answer:

y= x-8

Step-by-step explanation:

Answer:

The answer is A

Tom will have to sell at least 10 TVs to get the bonus and to get $1,500

Step-by-step explanation:

Total: The same or above 1500

Tom gets paid 100 for each TV = 100t

He can get a 500 bonus by selling a certain amount = 500

100t + 500 ≥ 1,500

100t + 500 - 500 ≥ 1500 - 500

100t ≥ 1000

100t ÷ 100 ÷ 1000 ÷ 100

t ≥ 10

Tom will have to sell at least 10 TVs to get the bonus and to get $1,500

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

0.6

Step-by-step explanation:

10l|8w

6l`|?w`

6/10=0.6

0.6 x 8w = 4.8w

Scale factor = 0.6

Step-by-step explanation:

please delete this comment

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

Answer: 22.5 LBS (Or Pounds)

Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)

Answer:

22.5 pounds

Step-by-step explanation:

You multiply 10 by 2.25 to get your answer

You can just move the decimal to the right one decimal place since you're multiplying by 10

Answer:

Range[4,24,44,64,84,104,124]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs

20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in

pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6

The given function is

f(x) = 20x + 4 =

f(0) = 20(0) + 4

= 4

f(6) = 20(6) + 4

= 124

Which means the range is within 4 and 124.

But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24

Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)

Answer:

1/12 of the pan

Step-by-step explanation:

He has 1/3 of a pan of lasagna.

You are dividing it by 4 as he cut the 1/3 pan into 4 equal pieces, so you can do 1/3 divided by 4.

A simple trick to divide a fraction from a number is to change the division sign to multiplication and flipping over the second fraction.

So 1/3 / 4

would become

1/3 x 1/4

and so it is 1/12

1/12 is your answer

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

5x - 2(2x-1) = 6   Distribute first the 2 to (2x-1)

5x - 4x + 2 = 6    Subtract 5x - 4x

x + 2 = 6   Transpose 2 to the right side by subtracting both side by 2

x = 6 -2

x  = 4

Answer:

the posibility for both of these answers are 5/10 or a 5 in ten chance that it would be a or n because in this there is 5 or these letters  

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It's not proportional because the unit rate for each hour isn't the same.

Answer:

187.5 km

Step-by-step explanation:

For every 2cm there is 25km, So 2cm/25km. Now you are given 15cm, and you need to find the actual distance in km. Set up the fraction 2cm/25km=15cm/Xkm and solve for X using cross multiplication as follows:

2x=25(15), so 2x=375, X=187.5 km.

Answer:

the answer is x= -33

Step-by-step explanation:

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

Answer:

X=67.5

Step-by-step explanation:

90+X +3x =360

4x=360-90

X=270/4=67.5