1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sloan [31]
3 years ago
5

A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters

less than the distance between the top of the ladder and the ground. Create an equation that models the length of the ladder in terms of x, which is the distance between the top of the ladder and the ground.
Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0
<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

                   x^2-7x-60=0

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0

                 Hence, the answer is:

                  x^2-7x-60=0

Mama L [17]3 years ago
5 0
Oh no :DDDD
so you gan take the pythagorean formula, as it is a right triangle and modify dat.
169 =  {x}^{2}  +  {(x - 7)}^{2}
twelve and five if yuo need to know numbres :DDDD
You might be interested in
4,11,18<br> what is the 109th value of this sequence ?
kompoz [17]

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

5 0
2 years ago
Help me please math
Dominik [7]

13+9=22

5+18=23

22x23=506

½x5x13=32.5

9x5=45

½x9x18=81

506-32.5-45-81=347.5

5 0
2 years ago
Simplify the expression. 4x - 2(x - 6) - X​
zloy xaker [14]

Answer:

Step-by-step explanation:

4x-2(x-6)-x=4x-2x-x+12

                 =x+12

8 0
2 years ago
Read 2 more answers
Please help.
Charra [1.4K]

Answer:

Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:

Since the length of the hypotenuse is twice as long as the shorter leg, we have:

The length of the short leg is: 25/2 = 12.5

Since the length of the longer leg is equal to the length of the shorter leg

multiply by square root of 3 we have:

The length of the longer leg is: 12.5 × √3 ≈21.65

=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15

6 0
2 years ago
Read 2 more answers
Help me please with this<br> Simplify.<br><br> 5a-12a
Oduvanchick [21]
It helps to imagine the variable a sort of as a unit. Like with 5 minus 12 lemons, it has no bearings on the addition/subtraction here.

Factor out a and subtract.

5a-12a \\ (5-12)a \\ \boxed{-7a}
4 0
3 years ago
Other questions:
  • Diego says that if you cube the number 4 and then take the cube root of the result, you end up with 8. Is diego correct? Explain
    8·1 answer
  • a kilobyte is equal to 10 to the power of 3 bytes. write 10 to the power of 3 as a product of the same factor. then find the val
    10·1 answer
  • An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l
    7·1 answer
  • 3(2y + 1) +4<br> Solve this?!!!
    15·2 answers
  • Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?
    15·1 answer
  • Which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
    9·1 answer
  • A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.
    6·1 answer
  • Find the measure of the missing angle.
    14·1 answer
  • 2. Deon wants to find the perimeter of a square with side length 6m - 3. Write two expressions that represent the perimeter, inc
    8·1 answer
  • Please help me asap.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!