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
Airida [17]
3 years ago
6

42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor

of 3?

Mathematics
1 answer:
jasenka [17]3 years ago
4 0

The second matrix \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right] represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]

This is the second option.

You might be interested in
Y<br> 45°<br> X 100°<br> y = [ ? 1°
deff fn [24]

Step-by-step explanation:

x+100°=180°{being straight angle}

x=180-100

x=80°

again,

45°+x+y=180°{sum of angle of triangle}

45+80+y=180

y=180-125°

y=55°

hope it helps.

8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
dlinn [17]

Answer and Step-by-step explanation:

<u>Mandy travels more miles.</u>

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
X+4 is the same as 4+x
babunello [35]
Yes it is the same , just written differently
3 0
3 years ago
Read 2 more answers
What type of information is NOT found on a consumer's credit report?
daser333 [38]
Your answer is C. Hope this help :D
6 0
3 years ago
Read 2 more answers
Which expression shows 2x² + 18 factored completely
Lerok [7]

Answer:

2(x^2+9)

Step-by-step explanation:

2x^2 +18

Factor out a 2

2(x^2+9)

3 0
3 years ago
Other questions:
  • 3 equivalents for 18:4
    6·1 answer
  • What is the average cost to produce 5 items
    14·1 answer
  • A technician is back-probing the three wires in the mass air flow (MAF) sensor connector with a DMM. A poor ground is found at t
    13·2 answers
  • The parking lot has a total of 60 cars and trucks. The ratio of cars to trucks is 7:3.
    9·2 answers
  • Give an example of a rule for a pattern list a set of numbers that fit the pattern
    9·2 answers
  • How high up a vertical wall will a 26-foot-long extension ladder reach if its base is placed 10 feet away from the wall?
    13·1 answer
  • Which survey is biased?
    7·2 answers
  • Solve 1.2(5-x) = 2(1.4x+3)
    13·1 answer
  • 2+(G+5) Please help lol
    15·2 answers
  • <img src="https://tex.z-dn.net/?f=5u%20%2B%2011%20%3D%2056%20%5C%5C%20u%20%3D%20" id="TexFormula1" title="5u + 11 = 56 \\ u = "
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!