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
statuscvo [17]
3 years ago
8

use vectors to decide whether the triangle with vertices p(1,-3,-2), Q(2,0,4), R(6,-2,-5) is right-angled.

Mathematics
1 answer:
kupik [55]3 years ago
4 0
The direction vectors for the three sides are given by the differences in the vertices, not the vertices themselves. So consider the vectors
P−Q,P−R,Q−RP−Q,P−R,Q−Rand see whether any of these are orthogonal.
You might be interested in
Convert: 76.8°f = ________ °c<br> a. 21.5<br> b. 25<br> c. 170.24<br> d. 24.89
lesya [120]
The answer to convert 76.8 fahrenheit to Celsius is D
 

3 0
3 years ago
Read 2 more answers
Can you resolve this?<br><br> A= Area<br> P= Perimeter<br> AT= Total Area<br><br> plis help D:
Paraphin [41]

Answer:

in steps

Step-by-step explanation:

upper square:  P = 20x² + 8

<u>side: P/4 = 5x² + 2</u>

<u>A = side² = (5x² + 2)² = 25x⁴ + 20x² + 4</u>

Middle equilateral Triangle: A = x² + 4x + 4       base = 2x + 4

A = base x height / 2

(x + 2)² = 2 (x + 2) x height /2

<u>height = x + 2</u>

<u>perimeter = 2 (x + 2) x 3 = 6x + 12</u>

Lower trapezoid: A₁ = 2x² + 24x + 40 = 2 (x² + 12x + 20) = 2 (x + 2) (x + 10)

A₁ = (x + 10)² = 2 (x + 2) (x + 10)

x + 10 = 2x + 4

x = 6

<u>A₂ = (2x + 4) (x + 10) / 2 = (16 x 16) / 2 = 128</u>

A₁ = (6 + 10)² = 256

<u>AT = 256 + 128 = 384</u>

6 0
3 years ago
Solve the equation C=2πr for π
postnew [5]
C = 2πr   Divide both sides by 2r
\frac{C}{2r} = π   Switch the sides to make it easier to read
π = <span>\frac{C}{2r}</span>
7 0
3 years ago
Read 2 more answers
A persons weekly pay is directly proportional to the number of hours worked. Shawn's pay is $123.00 for 20 hours of work. Find t
Crank
123 divided by 20 which equals 6.15 and then multiply 6.15 by 31 and the answer will be $190.65
7 0
3 years ago
Read 2 more answers
Please help 30 point assigned!!!
Reika [66]

Answer:

1) 0.5

Hope this helped a little!

6 0
3 years ago
Other questions:
  • The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
    11·2 answers
  • Factor: 4b^3 - 12b^2 - 9b + 27
    14·2 answers
  • Work out m and c for the line: y = x + 4
    13·1 answer
  • Express 9/41 as a decimal.
    9·2 answers
  • Please help last question
    15·2 answers
  • Solve for d when t = 0, t = 3, t = 5 d = t2 asap
    11·2 answers
  • This month salesperson A made 11% of $67,530.Salesperson B made 8% of $85,750.Who made more commission this month?How much did t
    7·2 answers
  • What is the result of subtracting the second equation from the first? <br> -2x+y = 0<br> -7x+3y = 2
    10·1 answer
  • What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
    10·1 answer
  • Value of the digit 3 for 263 is​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!