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
sdas [7]
3 years ago
6

Find the area of the triangle whose vertices are given below. ​a(0​,0​) ​b(negative 5​,3​) ​c(3​,2​) the area of triangle abc is

nothing square units. ​(simplify your​ answer.)
Mathematics
1 answer:
beks73 [17]3 years ago
6 0
There are a number of ways the area can be figured. One of them is to create points b'(-5, 0) and c'(3, 0). Then subtract the areas of triangles bb'a and cc'a from trapezoid bb'c'c. Here is that computation.
  (area of bb'c'c) = (1/2)(3 + 2)(3-(-5)) = 20
  (area of bb'a) = (1/2)3*5 = 15/2
  (area of cc'a) = (1/2)(2*3) = 3

Area of abc = 20 - 15/2 - 3 = 19/2 = 9 1/2 square units.

_____
The equivalent computation to that above is
  area = |bx*cy -by*cx|/2 = |-5*2-3*3|/2 = 19/2 . . . square units
The formula for this derives from considering points pairwise as defining trapezoids with respect to the x-axis. Summing the areas of those proceeding clockwise around the figure will give a simple formula for area from vertices.
You might be interested in
A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick
STALIN [3.7K]

|\Omega|=10\cdot9=90\\ |A|=3\cdot3=9\\\\ P(A)=\dfrac{9}{90}=\dfrac{1}{10}=10\%

6 0
3 years ago
Read 2 more answers
Please help ....this is due tomorrow
marshall27 [118]

A) 0.15 times $2,570 = $412.50

B) $122.85 times 2( 12 ) = $2,948.40

C) $2,570

D) All together it's  $2,948.40 + $2,570 = $5,518.40

For D I didn't add the down payment because it's not an additional charge.

I only did the first one because I don't know if you want me to finish the rest.

Hope I helped :)

5 0
3 years ago
Jennie makes 7 quilts with 21 yards of material. how many yards of material is required to make 12 quilts
kozerog [31]
Each quilt takes 3 yards of material so it would be 36
7 0
3 years ago
Read 2 more answers
Write the expression without radicals, using only positive exponents
Mamont248 [21]

Answer:

\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}

Step-by-step explanation:

∵∛x = (x)^1/3

∴ \sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}

So you can replace the radicals by fractional exponents

7 0
3 years ago
Read 2 more answers
Use the distributive parenthesis: 7(m + 9)<br> will give brainliest if answered correctly!
Phantasy [73]

Answer:

The simplified answer would be 7m+63. You would have to solve for the variable.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP! Geometry
    5·1 answer
  • Classify the expression below.
    11·1 answer
  • 100 POINT QUESTION!!
    5·1 answer
  • Rosalie and Tom are creating patterns.
    13·2 answers
  • Help please need an answer Fast
    14·1 answer
  • 5x+5y=-30 find the x and y intercept
    5·1 answer
  • What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r
    10·1 answer
  • A swimming pool contains 3000 gallons of water pool is drained a rate of 100 gallons per minute write a rule for the amount of w
    13·1 answer
  • Can someone help me with these problems, DUE today!
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B%20%5Calpha%20%7D%5E%7B2%7D%20%20%5Cbeta%20%20%2B%20%20%5Calpha%20%20%7B%20%5Cbeta%20%7D
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!