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
kotykmax [81]
2 years ago
12

The area of a right triangle is given by the expression:

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u><em>Recall</em></u>:

The area of a triangle = \frac{1}{2} bh

<em><u>Given</u></em>:

Area of triangle = \frac{1}{2} (6x^2 - 7x - 3)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

6x^2 - 7x - 3

To find the expression that models the other leg, divide 6x^2 - 7x - 3 by 3x + 1:

  • <em>Thus</em>:

\frac{6x^2 - 7x - 3}{3x - 1}

  • Factorize the numerator

\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}

  • Simplify

\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3

Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/20712284

You might be interested in
Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy
Katarina [22]

first you'll need to convert the meters to centimeters. 2 meters = 200 centimeters. then you divide 200 by 3 which is 6 2/3 centimeters for each person.

7 0
4 years ago
Read 2 more answers
Help please 25 pts. I will mark. One month Justin rented 2 movies and 5 video games for a total of $32. The next month he rented
umka21 [38]

Answer:

The movie costs $3.50 and the video games cost $5.

Step-by-step explanation:

a = 1 movie

b = 1 video game

2a + 5b = $32

8a + 3b = $43

2a x -4 = -8a

5b x -4 = -20b

32 x -4 = -128

   8a + 3b = $43

-   8a + 20b = $128

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

-17b = -85

17b = 85

/17     /17

b = 5

2a + 5(5) = 32

2a + 25 = 32

-       25 = -25

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

2a = 7

/2 = /2

a = 3.5

a = $3.50

b = $5

6 0
3 years ago
Simplify -3x^3(2x^2+3)+9x^4
SIZIF [17.4K]

Answer:

ANSWER = −6x^5 +9x^4 − 9x^3

Step-by-step explanation:

Let's simplify step-by-step.

(−3x^3) (2x^2 + 3) + 9x^4

Distribute:

=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4

=−6x^5 + − 9x^3 + 9x^4


Answer:

= −6x^5 +9x^4 − 9x^3


3 0
3 years ago
The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new busines
topjm [15]

Answer:

The question is incomplete, here is the complete question.

Year                               Real GDP per Capita

1985                                          6,000

1986                                          6,300

1987                                           6,700

1988                                           7,200

1989                                           7,850

1990                                           8,250

1991                                            8,450

1992                                           8,550

1993                                           8,575

1994                                           8,510

1995                                           8,370

1996                                           8,100

1997                                            7,950

1998                                           7,925

1999                                           7,960

2000                                          8,035

2001                                            8,155

The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new business cycle began in 1985, how long was this cycle? In which year did the peak occur? The trough occurred in which year? How long was the expansion? How long was the recession?

Step-by-step explanation:

a.If a new business cycle began in 1985, how long was this cycle?

The business cycle describes the rise and fall in production output of goods and services in an economy. In the data given above, a business cycle is complete in the year 1998. If the cycle started in 1985 then it was 14 years long.

b. In which year did the peak occur? The trough occurred in which year?

In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).

c. How long was the expansion? How long was the recession?

Expansion was 9 years long (1985-1993) and recession was of 5 years (1994-1998).

7 0
3 years ago
0.799 ________ 0.8 PLEASE HELP ASAP!
stiv31 [10]

Answer: I don't get the question? Can you please explain the question?

5 0
3 years ago
Other questions:
  • the width of the scale drawing of a sofa is 15 cm actual width of the self is 150 CM what is the scale of the drawing
    15·1 answer
  • Solve the equation log(10-4x) = log(10-3x)
    5·1 answer
  • Can I get some help on this
    9·1 answer
  • Eira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints
    7·1 answer
  • What time what equals 10
    13·1 answer
  • On Friday it snowed 3 4/7 inches. On Saturday it snowed 2/7 inches. How much more did it snow on Friday then Saturday? A. 3 2/7
    8·1 answer
  • Name the property shown by each statement:
    5·2 answers
  • cho hs y=x^3/3-x^2+mx-1 m là tham số thực. có bnh gt nguyên của m thuộc (-10;10) để hs đb trên (-vô cùng;2)
    7·1 answer
  • The cost of 3 diaries is £12
    13·2 answers
  • Use any method to solve the equation. If necessary, round to the nearest hundredth. 8x2 + 18x − 24 = 0 0.94, –3.19 1.88, –6.38 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!