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
tatyana61 [14]
2 years ago
5

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

What are the width and length of the rectangle?
Mathematics
1 answer:
Norma-Jean [14]2 years ago
6 0

Answer:

Length =5

Width = 2

Step-by-step explanation:

Given

Length =x

Width = x -3

Area = 10

x(x-3) =10

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

x(x-3) =10

Open bracket

x^2 -3x = 10

Equate to 0

x^2 -3x - 10 =0

Expand

x^2 + 2x - 5x - 10 = 0

Factorize

x(x + 2) - 5(x + 2) = 0

Factor out x + 2

(x  - 5)(x + 2) = 0

Solve for x

x - 5 = 0 or x + 2 = 0

x = 5 or x = -2

The value of x cannot be negative

So:

x  = 5

Recall that:

Length = x

Width = x - 3

So:

Length =5

Width = 2 ---- i.e. 5 - 3

You might be interested in
Evaluate 5a-2b if a=3, and b=2
Anna71 [15]

Answer:

11

Step-by-step explanation:

4 0
4 years ago
The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a
klemol [59]
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

7 0
3 years ago
Cuánto es la mitad de cinco octavos
shutvik [7]
Mitad de \frac{5}{8}'s
Multiplicar \frac{5}{8} por \frac{1}{2}
(\frac{5}{8})  (\frac{1}{2}) =  \frac{(5)(1)}{(8)(2)} =  \frac{5}{16}
4 0
3 years ago
Please help me please
Nezavi [6.7K]

Answer:0uigygut68 y o ro

Step-by-step explanation:

5 0
3 years ago
Why is it important to solve an equation for a specific variable?
Svetllana [295]
It all depends on the importance of the variable its self. Its important to solve it so you know what the variable is and its important to solve one at a time because its impossible to solve a variable completely if you have two of them
8 0
3 years ago
Other questions:
  • Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she w
    11·2 answers
  • A circle with a central that measures 125° has a diameter of 13 feet. What is the area of sector JKL? Use 3.14 for , and round y
    15·1 answer
  • 0.12x - 1.5= 0.24x - 0.06
    7·1 answer
  • Need help with this problem​
    12·1 answer
  • Please help me now plz <br> I will mark you brainliest
    10·1 answer
  • Help me please ;(
    10·1 answer
  • Pls help!!!!!!!!!!!!!!!
    9·2 answers
  • The Greek method for finding the equation of the tangent line to a circle uses the fact that at any point on the circle the line
    10·1 answer
  • What is the width of a rectangle that has an area of 10 ft.² and a length of 24 inches give your answer in feet
    8·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!