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
Volgvan
3 years ago
7

What is the area of a triangle whose vertices are R(-4,2),S(1,2), and T(-5,-4)

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

The answer to your question is 30 u²

Step-by-step explanation:

Vertices

R(-4, 2)

S (1, 2)

T (-5, -4)

Find the area using matrices            X    Y

                                          R             -4     2

                                          S              1     2

                                          T             -5   -4

                                          R             -4    2

                                  =| (-4 x 2) + (1 x -4) + (-5 x 2) - [(-4 x -4) + (-5 x 2) + (1 x 2)]|

                                  = |-8 - 4 - 10 - [ 16 - 10 + 2]|

                                  = |-22 - [ 8]|

                                  = |-22 - 8|

                                  = |-30|

                                 = |-30|

Area =                          30 u²                                  

You might be interested in
Mark got 54 out of 66 in his maths test how many did he get wrong. Give your answer in its simplest form
alex41 [277]

Answer:

9/11 I think!

Step-by-step explanation:

54/66= 9/11

5 0
2 years ago
The landscape artist who designed New York City’s
timama [110]

The landscape artist who designed New York City’s Central Park believed that providing scenic settings accessible to all would not only benefit the public’s physical and mental health <u>and also foster a sense of democracy. </u> (Option D: but also foster a sense of democracy).

<h3>What is sentence correction?</h3>

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

  • When 'not only' is used, 'but also' must come after it. When utilizing a correlative conjunction like "not only," "but also," the goal should be parallelism, meaning that the words that come after both sides of the conjunction should be from the same part of speech.
  • Here, using 'and' after 'not only...' distorts the structure of the sentence.

Hence, Option D is the right response, i.e., The landscape artist who designed New York City’s Central Park believed that providing scenic settings accessible to all would not only benefit the public’s physical and mental health <u>and also foster a sense of democracy. </u> (Option D: but also foster a sense of democracy).

To learn more about sentence correction, refer to the link: brainly.com/question/14632568

#SPJ4

4 0
1 year ago
The set of the consecutive odd numbers 1, 3, 5, 7, ... , N has a sum of 400. How many numbers are in the set?
Amanda [17]

Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.

First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.

Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:

         1, 3, 5, 7, 9, 11, 13, 15 .

Number of items in the set . . . 8
Sum of all the items in the set . . . 64

Hmmm.  That's interesting.  64 happens to be the square of 8 . 
Do you think that might be all there is to it ?

Let's check it out:

Even-numbered lists of odd numbers:

1, 3                                   Items = 2, Sum = 4
1, 3, 5, 7                           Items = 4, Sum = 16
1, 3, 5, 7, 9, 11                 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .

Amazing !  The sum is always the square of the number of items in the set !

For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.

I slogged through it on my calculator, and it's true.

I never knew this before.  It seems to be something valuable
to keep in my tool-box (and cherish always).


3 0
3 years ago
Determine the intervals on which the function is increasing, decreasing, and constant
max2010maxim [7]
I believe it's increasing on all fronts, because if you start from the right, you see that the y values always increase, hence they are increasing. They do it for when x<0 and when x>0. So, it should be increasing on all real numbers
3 0
3 years ago
Read 2 more answers
Solve the inequalities 3x2 – 11x &gt; 20
Bas_tet [7]

Answer:

x=-10

Step-by-step explanation:

3x · 3x=9x-11x>20

-2x>20

÷-2    -2

___________-

x=-10

Hope this helps ∞

5 0
2 years ago
Other questions:
  • A hand of five cards is dealt from a normal pack of 52 cards, find the probability that there is no aces
    14·1 answer
  • Express 22÷5 as a decimal
    10·2 answers
  • .
    6·1 answer
  • Complete the table. Round your entries to the
    10·1 answer
  • Helppp pleaseeeee!!!!!!!!
    6·1 answer
  • Which net matches the solid figure shown below?
    12·2 answers
  • The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
    5·1 answer
  • The population of a city decreases by 0.6% per year. What should we multiply the current population by to find next year's popul
    5·1 answer
  • The owner of a snow cone stand used 1/4 gallon of syrup to make 16 cherry snow cones. She used the same amount of syrup in each.
    13·2 answers
  • The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!