May someone pls help me with this question

Answer:

The length of the ladder is 7.21 feet

Step-by-step explanation:

Let

y = Height of the wall

x = Distance between the wall and the ladder (bottom)

L = Length of the ladder

So, the given parameters are:

[tex]\frac{dy}{dt} = -2ft/s[/tex]

When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:

[tex]L^2 = x^2 + y^2[/tex]

Differentiate with respect to time

[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

The length of the ladder does not change with time. So:

[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

Rewrite as:

[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]

Recall that:

[tex]\frac{dy}{dt} = -2ft/s[/tex] and  [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

So:

[tex]4 * 3 = -y * -2[/tex]

[tex]12 = 2y[/tex]

[tex]6 = y[/tex]

[tex]y = 6[/tex]

Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]

[tex]L^2 =4^2 + 6^2[/tex]

[tex]L^2 =52[/tex]

[tex]L = \sqrt{52[/tex]

[tex]L = 7.21ft[/tex]

Answer:

x ≤ 1

Step-by-step explanation:

8 + 4x [tex]\geq[/tex] 12

4x [tex]\geq[/tex] 12 - 8

4x ≥ 4

Dividing both sides by 4 gives;

x ≤ 1

Answer:

10 - 2x

Step-by-step explanation:

3x + 8 + - 5x + 2​

- 2x + 8 + 2

10 - 2x

Answer:

-2x+10

Step-by-step explanation:

Combine the variables

-5x+3x= -2x

Combine the other numbers

 8+2= 10

-2x+10

Answer:

2

Step-by-step explanation:

6x2=12

6z=12=2

12/2=6

Answer:

a term

Step-by-step explanation:

Answer:

786240 different license plates.

Step-by-step explanation:

The required number of plates that can be used is 2,599,974.

Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974

Thus, the required number of plates that can be used is 2,599,974.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

x = 6

Step-by-step explanation:

8x + 7x = 90

15x = 90

15x/15 = 90/15

x = 6

Answer:

B) (5, -3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

B is the correct answer hope this helps!

Answer:

20

Step-by-step explanation:

120*1/5= 24

120*1/3= 40

120*3/10= 36

120-24-40-36= 20

9514 1404 393

Answer:

  z = 47 at (x, y) = (3, 8)

Step-by-step explanation:

In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...

  (x, y) = (3, 8)

The value of z there is 5·3 +4·8 = 47.

The maximum value of z is 47 at the point (x, y) = (3, 8).

Answer:

B. 20

Step-by-step explanation:

We need to find a common denominator for 1/5, 1/3, and 3/10, which would be 30. 1/5 = 6/30, 1/3 = 10/30, and 3/10 = 9/30. If we add these together we get 25/30. This leaves 5/30 covered in sprinkles.

Now we need to find what 5/30 of 120 is. We can simplify 5/30 to 1/6. 120 divided by 6 is 20. So, 20 apples are covered in sprinkles.

Answer:

it"s B

Step-by-step explanation:

I just don't have the energy to explain why.  sorry pls dont get me banned

Answer:

Step-by-step explanation:

y=-4x+2

Answer:

y=2x-4

Step-by-step explanation:

Becuase the x axis croses -4, so you would draw a line starting at the bottom through negative 4. Then since their is a positive 2 you would keep drawing the line on the untill you see a 2 which would be on the y axis.

Answer:

Answer:

1/2 of the possibilities are even number

Step-by-step explanation:

Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.

Answer:

give me sec waitttttttt give me sec

Answer:

Step-by-step explanation:

Apply the Distributive Rule

3(6x+2) = 3·6x + 3·2 = 18x + 6

Answer:

7

Step-by-step explanation:

Answer:

164 ft squared

Step-by-step explanation:

Answer:

y=2/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-11=2/3(x-6)

y=2/3x-12/3+11

y=2/3x-4+11

y=2/3x+7

Answer:

8

Step-by-step explanation:

Answer:

At most 5

At least 0

Step-by-step explanation:

22 - 17 = 5

You can't have no more than 5, and you can have none join at all.

Answer:

At the most, it will be 5

At least  it will be 0

You can't have anymore than 5, and you can have none join at all.

Step-by-step explanation:

22 - 17 = 5

You can't have anymore than 5, and you can have none meet at all.

Answer:

1800.02 kilometers

Step-by-step explanation:

1 kilometer = 1000 meters

1800020 meters = 1800.02 kilometers