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
Margarita [4]
3 years ago
9

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

ontal, what are the
coordinates of point C?
B = (102)
C = (?)
D
A = (2-6)
OA (5,-3)
OB. 17.-1)
OC (2.-1)
OD. (2-3)

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

You might be interested in
Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi
meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

4 0
3 years ago
Solve the system of equations and choose the correct answer from the list of options.
Igoryamba

Answer:

x = -6/5

y = -8/5

Step-by-step explanation:

2x + y = -4

Y = 3x + 2

Substitute the second equation into the first equation

2x + 3x+2 = -4

Combine like terms

5x +2 = -4

Subtract 2 from each side

5x+2-2=-4-2

5x = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Now we need to find y

y = 3x+2

y = 3(-6/5)+2

y = -18/5 + 10/5

y = -8/5

5 0
3 years ago
Solve<br> Y = -1/2 (-2) + 2
Basile [38]

Answer: y = 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The function y = 8.5(1.1)x models the population in thousands of a town where x is the number of years after 2000. What will be
nikdorinn [45]

Answer:

The population will be at 65.45 in 2007.

Step-by-step explanation:

I graphed the equation below to find the answer.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
PLS Help me! This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x
viktelen [127]

Answer:

The domain is the set of all possible x-values

  • Domain is the time here

The range is the resulting y-values

  • The range is the outside temperature is here
  • Function is decreasing between x= 0 to 3
  • It means the temperature is decreasing between midnight and 3 AM

5 0
3 years ago
Other questions:
  • Nathan correctly answered 17 of the 20 questions on the test. What percent of the question did Nathan answer correctly?
    10·2 answers
  • Can someone explain this to me?
    14·1 answer
  • Which number is between 21 and 3π 2 ? A π + 1 B 14 3 C 5 D 26
    5·1 answer
  • Rhett is solving the quadratic equation 0 = x2 - 2x - 3 using the quadratic formula. Which shows the correct substitution of the
    8·2 answers
  • Y^2/4 + y/3 + y^2/3 - y/5
    8·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • And tell me why they are. or not similar​
    9·2 answers
  • This is 7th grade math so pls answer asap<br><br><br>1: v/8=2<br><br>2:16=k/11<br><br>3:18+m=8
    13·1 answer
  • The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimin
    13·1 answer
  • Math am I right, well i need this asap. thanks for all the help!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!