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
lisabon 2012 [21]
3 years ago
15

hree vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
V1=(-2,4)=(x1,y1)→x1=-2, y1=4
V2=(4,0)=(x2,y2)→x2=4, y2=0
V3=(2,-3)=(x3,y3)→x3=2, y3=-3
V4=(x4,y4)→x4=?, y4=?

V1-V2
dx=x2-x1=4-(-2)=4+2→dx=6
dy=y2-y1=0-4→dy=-4

V4-V3
dx=x3-x4→6=2-x4
Solving for x4:
6=2-x4→6-2=2-x4-2→4=-x4→(-1)(4=-x4)→-4=x4→x4=-4

dy=y3-y4→-4=-3-y4
Solving for y4:
-4=-3-y4→-4+3=-3-y4+3→-1=-y4→(-1)(-1=-y4)→1=y4→y4=1

V4=(x4, y4)→V4=(-4, 1)

Answer: The coordinates of the fourth vertex are (-4,1)

You might be interested in
The limit of f(x)= 3x+4
jeka57 [31]
The answer is 22.
You have to plug in 6 to the equation
4 0
3 years ago
What can 45/8 be simplified down to?
Alenkinab [10]
Eight goes into 45, 5 times so it would be 5 and 5/8.
5 0
2 years ago
Help me solve this pleaseeee
MaRussiya [10]

Answer:

f(n) = 6n + 12

Step-by-step explanation:

There is a common difference in consecutive number of seats, that is

42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 6 , then

f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12

5 0
3 years ago
△ABC is mapped to △A′B′C′ using each of the given rules.
juin [17]

Answer:

The image is not loading!!

Step-by-step explanation:

Re-upload the question so maybe I can see it.

3 0
2 years ago
Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP
Svetach [21]
The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
\vec{QP} = \hat{i} + 3\hat{j}

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)
The magnitude is √(10).

8 0
2 years ago
Other questions:
  • Sammy is conducting a science experiment where he has to mix 8.25 ounces of vinegar and 4.30 ounces of lemon juice how many ounc
    13·1 answer
  • What would the median be for 14,30,17,30,17,10?
    10·1 answer
  • 10^6+10^6 is equal to what.?
    9·1 answer
  • Determine if the statement is always ,sometimes, or never true.
    14·1 answer
  • Helen bought 4 gallons of paint to redecorate her family room. If she uses 4/5 of the paint on the family room walls how much pa
    7·1 answer
  • A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x squared plus b over a tim
    15·2 answers
  • Which I greater? 165 cm or 1.7 meters?
    10·2 answers
  • What sentence represents the number of points in the problem below?
    13·1 answer
  • Water leaks through a roof and collects in a bucket the table shows how many cups of water collect in the bucket for different n
    9·1 answer
  • If two lines are parallel, then the alternate exterior angles are ______.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!