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
Evgen [1.6K]
4 years ago
11

Write an algebraic expression in standard form for the shaded area of the following shape

Mathematics
1 answer:
Alex Ar [27]4 years ago
3 0

Answer:

x² + 7x + 12

Step-by-step explanation:

The area of a rectangle = length × width

here length = x + 4 and width = x + 3, hence

A = (x + 4)(x + 3)

Each term in the second parenthesis is multiplied by each term in the first parenthesis.

A = x(x + 3) + 4(x + 3) ← distribute each parenthesis

A = x² + 3x + 4x + 12 ← collect like terms

A = x² + 7x + 12 ← in standard form

You might be interested in
In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.
Andreyy89

Answer:

<u>The length of the longer segment of the 50 cm chord = 40</u>

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

<u>So, the the length of the longer segment of the 50 cm chord = 40</u>

8 0
3 years ago
Scenarios can be translated into
zalisa [80]

Answer:

can you please describe it more

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Find the distance between the points (-5, -10) and (2, 4).
Korvikt [17]

Answer

15.652476

Reason: i used a calculator

8 0
3 years ago
Read 2 more answers
GIVING BRAINLEST AND THANK YOU AND FIVE STARS IF CORRECT, ANY FILE LINK IS INSTANT REPORT
Vitek1552 [10]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The formula for the distance travelled over time t and at an average speed v is v⋅t. Amit ran for 40 minutes at a speed of about
lawyer [7]

Answer:

3 1/3 km or 3.33 km (to the hundredth)

Step-by-step explanation:

Using the given formula,

estimated distance = v.t  = velocity * time,

velocity = 5 km/h

time = 40 minutes = \frac{40}{60} hours = \frac{2}{3}  hours

Therefore

distance = 5 km/h * \frac{2}{3}  hours = 10/3 km

= 3.33 km approximately

3 0
3 years ago
Read 2 more answers
Other questions:
  • A company has a minimum required rate of return of 9% and is considering investing in a project that costs $350,000 and is expec
    5·1 answer
  • What is the slope of the given graph?
    14·1 answer
  • F(x)=6x^3 - 3x^2 4x- 15 for x = -3.5
    13·1 answer
  • A side of a square is 10 m longer than the side of an equilateral triangle the perimeter of the square is three times the perime
    9·1 answer
  • What is the radius of a cylinder with a volume of 3,165.12 cubic centimeters and a height of 7 centimeters?
    5·1 answer
  • Simplify the expression (3xy-3/5x-2y2)2
    8·1 answer
  • Can someone help me please!
    6·1 answer
  • Xyz company's cost function for four months is c=500000+5q
    12·1 answer
  • I need help with this question please
    6·1 answer
  • The admission fee at a water park is $9 for children and $15 for adults. On a certain day, 220
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!