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
Andrei [34K]
3 years ago
14

Can anyone figure this out?

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-3}~,~\stackrel{y_1}{10})\qquad A(\stackrel{x_2}{6}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NA=\sqrt{(6+3)^2+(3-10)^2}\implies NA=\sqrt{130} \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_2}{6}~,~\stackrel{y_2}{3})\qquad D(\stackrel{x_1}{6}~,~\stackrel{y_1}{-1}) \\\\\\ AD=\sqrt{(6-6)^2+(-1-3)^2}\implies AD=4 \\\\[-0.35em] ~\dotfill


\bf D(\stackrel{x_1}{6}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_1}{-3}~,~\stackrel{y_1}{10}) \\\\\\ DN=\sqrt{(-3-6)^2+(10+1)^2}\implies DN=\sqrt{202}


now that we know how long each one is, let's plug those in Heron's Area formula.


\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{130}\\ b=4\\ c=\sqrt{202}\\[1em] s=\frac{\sqrt{130}+4+\sqrt{202}}{2}\\[1em] s\approx 14.81 \end{cases} \\\\\\ A=\sqrt{14.81(14.81-\sqrt{130})(14.81-4)(14.81-\sqrt{202})} \\\\\\ A=\sqrt{324}\implies A=18

You might be interested in
4/5 - 2/7 find difference
Daniel [21]
The difference is 18/35

hope this is what u r looking for
8 0
2 years ago
Read 2 more answers
Find the slope of the line throgh each pair of points
svlad2 [7]

Answer:

19/24

Step-by-step explanation:

slope = rise/run = (y1 - y2) / (x1 - x2)

s = (19 - 0) / (8 - -16)

s = 19/24

4 0
2 years ago
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
ryzh [129]

Answer:

x= 3 +\sqrt{23}, 3 -\sqrt{23}

Step-by-step explanation:

You use the quadratic formula to get x= \frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}

Then you simplify and get the answers x= 3 +\sqrt{23}, 3 -\sqrt{23}

​​  

​​  

6 0
3 years ago
Read 2 more answers
The number is “ 1372 / 3 “ if it’s too small for you to see
faust18 [17]
V=4/3 pi r^3.
4/3r^3=1372/3,......r^3=343, r=7 inches
7 0
2 years ago
Select the expressions
yuradex [85]
40+35 is the answer of the Ixl question
3 0
2 years ago
Read 2 more answers
Other questions:
  • WORTH 45 POINTS AND BRAINLIST NO FAKE ANSWERS AND PLAGIARIZING
    10·2 answers
  • The annual per capita consumption of bottled water was 34.734.7 gallons. assume that the per capita consumption of bottled water
    11·1 answer
  • What is the median of the following numbers?<br> 8,1,2,6,1,4<br> Stuck? Watch a video or use a hint.
    12·2 answers
  • what is remainder theorem ? explain how to use remainder thereom and factor theorem for linear polynomial .
    14·1 answer
  • Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.
    12·2 answers
  • A cereal company is giving away 1 of 6 different prizes in each box of cereal. Describe a simulation you could use to estimate t
    11·1 answer
  • I NEED HELP WITH THIS QUESTION PLEASE ? :(
    13·1 answer
  • Triangle PQR has side lengths 6 cm, 7 cm, and 11 cm. A
    6·1 answer
  • Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).
    6·1 answer
  • PLEASE HELP ME 12 POINTS
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!