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barxatty [35]
2 years ago
5

A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (B

C) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).

Mathematics
1 answer:
Serga [27]2 years ago
8 0

<em>Greetings from Brasil...</em>

a)

Let's just use Pythagoras

L² = X² + (X - 7)²

<h3>L = √(2X² - 14X + 49)</h3><h3 />

b)

If L = 13, then what is the value of X ???

L² = 2X² - 14X + 49

2X² - 14X - 120 = 0

X = 12  or  X = - 5

<em>(The distance cannot be negative, so X = 12)</em>

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−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

3 0
2 years ago
Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread cov
Brut [27]

Answer:

The mold will cover half the area as much are one day before it.

Step-by-step explanation:

Given:

Every day the mold on bread grows doubles

And by 8th day entire bread covered with it.

To Find:

When was half the bread covered by mold.

Solution:

It is said that area covered by mold doubles on each day

Total days taken to cover entire bread are 8

Let Area of bread be A

So Area covered (A) corresponds to 8 days with doubling.

So on previous day it should What ever area on 8th day/2

i.e A(8)/2

Similar on 6th day A(7)/2

So on 5ht day =A(6)/2 ,4th= A(5)/2,  on 3rd= A(4)/2, on 2nd=A(3)/2

On 1st =A(2)/2

So we required  Area= half of total.

<em>One day before the 8th day will be 7th day</em>

<em>on that day it will cover half are so that on next day will cover the double of the previous area consumed.</em>

4 0
3 years ago
How much money does Carl earn per hour? Show your work. You will not receive full credit for a
Komok [63]
  • From the table showing in the diagram, Let's pick the data in the first row:

Time = 3 hours

Money earned = $45

  • The amount of money Carl earns per hour is calculated as:

3 hours = $45

1 hour = ?

Cross Multiply

1 hour x $45 / 3 hours

= $15

  • Let's confirm our answer using the data in the last column

Time = 10 hours

Money earned = $150

The amount of money Carl earns per hour is calculated as:

10 hours = $150

1 hour = ?

Cross Multiply

1 hour x $150 / 10 hours

= $15

Therefore, the amount of money Carl earns per hour is $15

To learn more, visit the link below:

brainly.com/question/1004906

3 0
2 years ago
Find the least common multiple of 10,15,25 please no links or photo​
sergey [27]

Answer:

150

Step-by-step explanation:

The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .

6 0
2 years ago
4+2×1+3? How do u solve this please?​
Bad White [126]

Answer:

7

Step-by-step explanation:

PEMDAS multiply 2 times 1 then add 4 and 3

7 0
2 years ago
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