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
Zinaida [17]
2 years ago
12

Model With Mathematics A photographer is

Mathematics
1 answer:
Damm [24]2 years ago
3 0

Answer:

a. The possible dimensions of the total area are;

The width of the total area is (2·x + 8) inches

The length of the total area is (2·x + 10) inches

b. The dimensions of the photos are as follows;

The length of the photos are 10 inches

The width of the photos are 8 inches

Step-by-step explanation:

a. Given that the area, A = 4·x² + 36·x + 80

We get;

A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)

Therefore, the possible dimensions of the total area (photo + mat) are;

The width of the total area (photo + mat) = (2·x + 8) in.

The length of the total area (photo + mat) = (2·x + 10) in.

b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each

Therefore, we have the dimensions of the photos are as follows;

The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.

The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.

You might be interested in
On a coordinate plane, 2 trapezoids are shown. The first trapezoid has points A (negative 1, negative 2), B (1, negative 2), C (
Liula [17]

Answer:

The true statements are:

The rule for the translation can be written as T-3, 1(x, y). ⇒ 1st

The rule for the translation can be written as  (x, y) → (x - 3, y + 1) ⇒ 4th

Step-by-step explanation:

Let us revise the rule of the translation:

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

The vertices of trapezoid ABCD are:

A (-1 , -2) , B (1 , -2) , C (2 , -5) , D (-2 , -5)

The vertices Of trapezoid A'B'C'D' are:

A' (-4 , -1) , B' (-2 , -1) , C' (-1 , -4) , D' (-5 , -4)

Trapezoid ABCD is translated to form Trapezoid A'B'C'D'

By using the rules of translation above:

∵ A = (-1 , -2) and A' = (-4 , -1)

- The rule of translation is (x , y) → (x + h , y + k)

∵ x = -1 and x + h = -4

∴ -1 + h = -4

- Add 1 to both sides

∴ h = -3

∵ y = -2 and y + k = -1

∴ -2 + k = -1

- Add 2 to both sides

∴ k = 1

The rule of translation is (x , y) → (x - 3 , y + 1)

The trapezoid ABCD has been translated 3 units to the left and 1 unit  up

You can check your answer by doing the same steps with the other 3 vertices you will have the same values of h and k

The true statements are:

The rule for the translation can be written as T-3, 1(x, y).

The rule for the translation can be written as  (x, y) → (x - 3, y + 1)

9 0
3 years ago
Read 2 more answers
Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide. How many containers, each one cubic foot in
tatuchka [14]
140

7•5=35

35•4=140 square feet
4 0
3 years ago
Read 2 more answers
The mass of 3 washers, when converted to kg is
spayn [35]

Answer:

Step-by-step explanation:

272.155 kg

3 0
3 years ago
Read 2 more answers
99,000 = _____ tens<br>please answer
rusak2 [61]
The answer will be 9900. Hope it help!
5 0
2 years ago
Read 2 more answers
(x-y)^2 (x^2-2xy+y^2)
Andrei [34K]
What are u asking me too do factor simplify??
5 0
2 years ago
Other questions:
  • Which graph models the equation -2x + 4y = -8?
    9·1 answer
  • Which choices are correctly written in a scientific notation ? select the four correct answers
    5·1 answer
  • I need help figuring out how to find AC I'm not very good at this part.​
    5·2 answers
  • Which property would justify step 2 of the following equation?
    11·1 answer
  • Help Me Plz!!!!! POINTS 
    12·1 answer
  • HELP ME QUICKLY PLEASE
    14·1 answer
  • A ship captain needs to contact a diver. The communication system has a maximum range of 60 meters. Will the captain be able to
    6·1 answer
  • A mug in the shape of a cylinder has a base of with a radius of 4 cm. how many milliliters of liquid does it hold if filled to a
    10·1 answer
  • Solve for x in terms of h. <br> 10x + 20h = -4(-3x - 8h)
    5·2 answers
  • What is 3/7 divided by 33?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!