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
Leto [7]
3 years ago
8

What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a rati

o of 5 to 3
Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

The coordinates of the point is (5.5, -2)

Step-by-step explanation:

Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3

Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;

Let’s call the point dividing the line in the given ratio z.

The coordinates of Z is;

{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}

In this question (x1,y1) = (3,3)

While (x2,y2) = (7,-5)

while a:b = 5:3

Substituting these values into the coordinate equation for point z, we have ;

{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}

= {44/8 , -16/8} = {5.5, -2}

You might be interested in
Find the area of the shape​
Salsk061 [2.6K]

Answer: 12.5

Step-by-step explanation:

you go on the web and google area of trapezium

8 0
3 years ago
Read 2 more answers
Leah's house has media room with a large flat screen tv. The media room tv has a width of 8 feet and a height of 4.5 feet. The f
neonofarm [45]
The ratio of the media room tv's width to height is 8ft to 4.5ft or 8/4.5

since the ratio of the living room tv's width to height is the same, the ratio would be
x/27 = 8/4.5
with x being the living room tv's width. Solve for x
x = (8/4.5)(27)
   = 48
The width of the living room tv is 48 inches
4 0
3 years ago
Read 2 more answers
Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent.
Alex17521 [72]

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = \frac{\$134,000}{0.94}

= $144,681

Hence, the selling price of the house is $144,681

5 0
3 years ago
Is a shoe store was having a back-to-school sale where you can buy six pairs of shoes for $52.62 if a large family decided to bu
hodyreva [135]
The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.
5 0
3 years ago
A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in
Colt1911 [192]
Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters  to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250  milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l
5 0
3 years ago
Other questions:
  • What is 3 times the sum of x plus 2 is less than 10 as an inequality?
    11·1 answer
  • The slope of a given line is -2. What is the slope of a line that is parallel to the given line?
    6·2 answers
  • Approximate the distance between points -3,5 and 7,-1. 5.7 units 32 units 11.7 units 136 units
    13·1 answer
  • He perimeter of a triangle is 34 inches. one side measures 13 inches. another side is 7 inches long. find the length of the thir
    8·1 answer
  • Point P is located at (6,-5). P is reflected across the y axis to create P’. What quadrants is P’ in?
    13·2 answers
  • Convert angle 180° to radians
    13·1 answer
  • Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for
    8·1 answer
  • Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?
    7·2 answers
  • The average of 7 numbers is 45.If the last two numbers are 27 and 43 what is the average of the first five
    12·1 answer
  • What is 25+t<br> identify ​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!