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
LiRa [457]
3 years ago
13

15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

10x + 12 and 6x² + 11x - 7

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is length and w is width )

   = 2(2x - 1) + 2(3x + 7) ← distribute parenthesis

    = 4x - 2 + 6x + 14 ← collect like terms

     = 10x + 12

--------------------------------------------------

The area (A) of a rectangle is calculated as

A = lw

   = (2x - 1)(3x + 7) ← expand using FOIL

    = 6x² + 14x - 3x - 7 ← collect like terms

    = 6x² + 11x - 7

You might be interested in
Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?
Vladimir [108]

If a function has roots -1 and -5, it must be in the form

f(x)=a(x+1)(x+5)

We can fix the coefficient a by imposing the passing through (0,-30):

f(0)=-30=a(1)(5)\iff a=-6

So, the function is

f(x)=-6(x+1)(x+5)

7 0
3 years ago
Teresa graphs the following 3 equations: y=2^x, y=x^2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass bo
makvit [3.9K]
A) Teresa is correct; y=2ˣ grows at an increasingly increasing rate, while the other two grow at a constantly increasing rate. This means y=2ˣ will surpass the other two.
6 0
3 years ago
Read 2 more answers
PLZ HEEELLLLPPPPP!!!!!!
Alexeev081 [22]

Answer:

p=-7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is 91.2 + 89.9​
larisa [96]

Answer:

8198.88

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6
Andre45 [30]

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6)  ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

7 0
2 years ago
Other questions:
  • Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression which
    13·1 answer
  • Estimate the sum of 21+17.
    8·2 answers
  • the length of a rectangle is four less than three times the width. if the perimeter is 36, find the width.
    8·1 answer
  • Can you make all the numbers from 1 to 20 using 4 fours?
    15·2 answers
  • Which of the following explains the relationship between angles B and C? Lines JK and JM intersect at point J, creating four ang
    5·2 answers
  • Use elimination to solve and match each system of equations to the correct solution.
    7·1 answer
  • The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet find the measures o
    11·2 answers
  • QOTD: What's 658x923? Do NOT use a calculator. Whoever, answers this correctly, I will give BRAINLIEST.
    7·2 answers
  • What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its v
    6·1 answer
  • ∠1 and ∠2 are complementary angles. m∠1 is 5y+32 and m∠2 is 7y-14. Find m∠2 & show your work.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!