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
m_a_m_a [10]
3 years ago
6

In quadrilateral PQRS, the coordinates are P(o, o), Q(a+c, o), R(2a+c,

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0
Given:
  Quadrilateral PQRS
  P(o, o), Q(a+c, o), R(2a+c, b), S(a, b)
Find:
  whether the diagonals are perpendicular using coordinate geometry
Solution:
  If the diagonals are perpendicular, their slopes multiply to give -1.
The slope of PR is
  (b-o)/(2a+c-o)
The slope of QS is
  (b-o)/(a-(a+c)) = (b-o)/(-c)
The product of these slopes is
  (b-o)·(b-o)/((2a+c-o)(-c))
This value will not be -1 except for very specific values of a, b, c, and o.

It cannot be concluded that the diagonals of PQRS are perpendicular based on the given coordinates.
You might be interested in
Please help me brainiest is award
tester [92]

Answer:

-3 >-5

5>-4

Step-by-step explanation:

Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4

hope this helps. Please mark me brainiest          

7 0
3 years ago
Read 2 more answers
What is the quotient of 4.8 divided by -0.4
Fynjy0 [20]

the answer of division is 5.2

8 0
2 years ago
Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
ra1l [238]

Answer:

half-class

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Help I don't get this question at all
tamaranim1 [39]

A. \angle7 and \angle8 are congruent because they are opposite to one another across the intersection of lines C and D. (We call \angle7 and \angle8 a "vertical angle pair".)

B. For the same reason \angle7 and \angle8 are congruent, we know that the angles with measures 5y-29 and 3y+19 are also congruent. This means 5y-29=3y+19, which we can solve for y.

C. 5y-29=3y+19\implies2y=48\implies y=24

While vertical angle pairs are congruent, adjacent angle pairs are supplementary. This means that 5y-29 and the measure of \angle7 (or \angle8) add to 180 degrees. Similarly, 3y+19 and the measure of \angle7 (or \angle8) also add to 180 degrees.

With y=24, we find

m\angle7+(5y-29)^\circ=180^\circ\implies m\angle7=180^\circ-(5(24)-29)^\circ

\implies m\angle7=m\angle8=89^\circ

5 0
3 years ago
How much is one pound
Bond [772]
<span>the answer could either be 454 or 9,080

</span>
7 0
3 years ago
Other questions:
  • You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere
    11·1 answer
  • Does the equation<br> y=7x-4y=7x−4<br> define y as a linear function of x?
    15·1 answer
  • Ava, Grace, Jayden, and Zoe together stacked a total of 50 brownies on a tray. Ava stacked 0.14 of the brownies, Grace stacked 4
    15·1 answer
  • Help me with this please someone help!!!
    9·2 answers
  • Write a cosine equation with the following properties:
    13·1 answer
  • What inequality describes the solutions of 2y less than or equal to 8?
    13·2 answers
  • What is the value of missing side a ?
    15·1 answer
  • If the volume of two similar spheres are 128m^3 and 1458m^3.
    7·1 answer
  • A retail store makes a profit of $3.75 for each $10.00 of goods sold. How much profit would the store make on a $45.00 purchase?
    6·1 answer
  • Determine which, if any, of the three statements are equivalent.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!