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
kkurt [141]
3 years ago
5

Triangle QRS, with vertices Q(6, -2), R(4, -7), S(2, -5), is drawn inside a rectangle, . What is the area, in square units, of t

riangle QRS?
HELP!
Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0
We look for the distance between each one of the vertices applying the following formula:
 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
 For QR:
 
QR = root ((4-6) ^ 2 + (-7 + 2) ^ 2)
 QR = 5.385164807
 For QS:
 
QS = root ((2-6) ^ 2 + (-5 + 2) ^ 2)
 QS = 5
 For RS:
 
RS = root ((2-4) ^ 2 + (-5 + 7) ^ 2)
 RS = 2.828427125
 Now we apply the heron formula:
 A = root (s * (s-a) * (s-b) * (s-c))
 Where,
 s = (a + b + c) / 2
 s = (5.385164807 + 5 + 2.828427125) / 2
 s = 6.606795966
 Substituting:
 A = root (6.606795966 * (6.606795966-5.385164807) * (6.606795966-5) * (6.606795966-2.828427125))
 A = 7.00000000
 A = 7 units ^ 2
 Answer:
 
The area, in square units, of triangle QRS is:
 
A = 7 units ^ 2
You might be interested in
Pls help me with this
grin007 [14]

Answer:

k=8

Step-by-step explanation:

divide both sides by 11 to get nine

then subtract 1 from both sides to get

8

7 0
3 years ago
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0
3 years ago
4 1/3 ÷ 5 1/6 the respricol of a fraction must be found to solve the problem .what is reciprocal fraction that should be used ?
emmasim [6.3K]

The denominator would be 6.


4 0
3 years ago
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.<br> A.68<br> B.16<br> C.23<br> D.18
borishaifa [10]

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

7 0
3 years ago
Thu wants to play "guess my number".she states,"when I triple my number and add five,I get twenty-six. What's my number?" what i
Mama L [17]
Let's break this up:
let x = the number
"when I triple my number" is the same as
3x
"and add five" is the same as
+5
We combine it to get
3x+5
"I get twenty-six"
=26
combine to get
3x+5=26
Now we just solve:
subtract 5 from both sides to get
3x=21
divide by 3 to get
x=7
6 0
3 years ago
Other questions:
  • The volume of one of the Great Lakes is 3.5 × 10E3 cubic kilometers.
    9·1 answer
  • Write 1700 g to nearest kg
    11·2 answers
  • What is not a common factor for the two fractional terms Two-thirds x y andStartFraction 10 over 3 EndFraction x
    10·2 answers
  • Please help me , algebra math !!
    5·1 answer
  • Please Help!! (brainliest fr best answer)
    10·1 answer
  • Simplify log4 4^5<br> A.20<br> B.1024<br> C.4<br> D.5
    14·2 answers
  • Which of the following equations have graphs that are parallel to the graph of the equation y=-3/2x+8?
    9·1 answer
  • The process of digging a site includes a. carefully recording the location of artifacts. b. accurate descriptions of the artifac
    11·1 answer
  • Complete the statements about circle Z. A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides
    8·2 answers
  • Given p(x) = x+7/3<br> if p(x) = 13, find x.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!