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
kumpel [21]
3 years ago
6

4(k-3) = -12 + 4k

Mathematics
1 answer:
denis23 [38]3 years ago
7 0
66 is the answer to the question
You might be interested in
Which rule describes the translation below ? In the picture
rewona [7]

The translation rule which describes the given translation is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}.

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as S'T'U' and STU.

The coordinates of the right angle triangle S'T'U' are (-4,2),(-4,-2) and (-1,-2) and the coordinates of the right angle triangle STU are (1,5),(1,1) and (4,1).  

Consider that the triangle STU is obtained after the translation of each point on the triangle S'T'U'.  

The coordinate of the point S' in triangle S'T'U' is (-4,2).  

Step 1:  

Use the translation (x,y)\rightarrow(x-5,y-3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-5,y-3) the coordinate of the point S is (-9,-1), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-5,y-3) is incorrect.  

Step 2:  

Use the translation (x,y)\rightarrow(x-3,y-5) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-3,y-5) the coordinate of the point S is (-7,-3), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-3,y-5) is incorrect.  

Step 3:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point S is (1,5) which is correct as the coordinate for the point S given in the figure is (1,5).  

Step 4:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point T'.  

\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}  

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (1,1) which is correct as the coordinate for the point T given in the figure is (1,1).  

Step 5:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point U’.  

\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (4,1) which is correct as the coordinate for the point U given in the figure is (4,1).  

As per the above calculation it is concluded that the translation (x,y)\rightarrow(x+5,y+3) is correct for the shifting of each point on the triangle S'T'U' to each point on the triangle STU.

The translation of each point on the triangle S'T'U' is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle S'T'U' to the triangle STU is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}  

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884  

Answer details:

Grade: Middle school

Subject: Mathematics  

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

7 0
3 years ago
Read 2 more answers
Plz help on this problem you guys!!!
shutvik [7]
The answer is the 15
3 0
3 years ago
Lee Company has a current ratio of 2.65. The acid test ratio is 2.01. The current liabilities of Lee are $45,000. Assuming there
Salsk061 [2.6K]
The dollar amount of merchandise inventory is A. $28,800
Let N = be the missing number
1.) 
N/$45,000 = 2.65/1 (cross multiply to get the current assets)
                   N = $119,250
2.) N/$45,000 = 2.01 (cross multiply to get current the quick assets)
                   N = $90,450
3.) Since there are no prepaid expenses, subtract current quick assets from the current assets to get the merchandise inventory
$119,250 - $90,450 = $28,800
8 0
2 years ago
C or D⁉️ Help me please now
Tanzania [10]

Answer:

I think it is D it is hard to read to the options



6 0
3 years ago
Find the volume of a pyramid with a square base where the perimeter of the base is 18.4 cm in the height of the pyramid is 20.6
Igoryamba

Answer:

45

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.4\text{ cm}18.4 cm and the height of the pyramid is 20.6\text{ cm}20.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

7 0
3 years ago
Other questions:
  • What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?<br> k =
    6·2 answers
  • Plz gimme the right anwser
    13·2 answers
  • What is the answers for number 31
    11·1 answer
  • Find the unit rate for Doug makes $43.45 in 5.5 hours
    9·2 answers
  • ???????????????????hep
    14·2 answers
  • 3x-5&lt;19 Fill in the blanks to show the steps in solving the inequality.
    11·1 answer
  • Plzzz help asap its for summer school btw​
    7·1 answer
  • Can someone please do this problem<br><br>​
    9·1 answer
  • Austin correctly answered 80% of the questions on the geography quiz. Liz answered 42 of the 50 questions correctly. compare the
    7·1 answer
  • GIVING OUT BRAINLIST QUICK! I CAN ONLY GIVE BRAINLIST IF 2 PEOPLE ANSWER!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!