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
Rudik [331]
2 years ago
5

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

What are the coordinates of the new center? Explain.​
The points are (1, 9) and (9, 3)
Mathematics
1 answer:
Natasha2012 [34]2 years ago
7 0

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

You might be interested in
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C
BARSIC [14]

Answer:

(A)the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Kareem plans to use the function C(F) = \dfrac59(F-32) to convert temperature from degrees Fahrenheit to degrees Celsius.

The function gives a result in degrees Celsius. Therefore, 76.1 is in degree Fahrenheit and the result C(76.1) will be in degree Celsius.

Therefore, C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The correct option is A.

6 0
2 years ago
Read 2 more answers
Consider the initial value problem y″+9y=g(t),y(0)=0,y′(0)=0, where g(t)={t0 if 0 ≤ t &lt;2 if 2 ≤ t &lt; [infinity]. Take the L
AURORKA [14]

Step-by-step explanation:

Calcium carbonate reacts w/stomach acid according to the following chemical equation.

CaCO3+2HCl(aq)-> CaCl2(aq)+H2O(l)+CO2(g)

6 0
2 years ago
6.5 x 1/9 please help
hjlf

Answer:

13/18

Step-by-step explanation:

  • 6.5 · 1/9 = 6 5/10 · 1/9
  • 6 5/10 · 1/9 = 6 1/2 · 1/9
  • 6 1/2 · 1/9 = 13/2 · 1/9
  • 13/2 · 1/9 = 13/18

Therefore, 6.5 · 1/9 = 13/18.

7 0
2 years ago
Two thirds divided by one quarter
Stells [14]

Answer:

2.66666666667

Step-by-step explanation:

6 0
3 years ago
Is 4/67 grater that 5/777
Anni [7]
Yes because if you divide 4 by 67 you get about 0.0597 and if you divide 5 by 777 then you get about 0.0064 and 0.0597 is greater than 0.0064

6 0
3 years ago
Other questions:
  • Subtract -5x^2-9x+8−5x <br> 2<br> −9x+8 from -6x^2+5−6x <br> 2<br> +5.
    12·1 answer
  • Zoe's fish tank holds 27 liters of water. She uses a 3 liter container to fill the tank. How many times does she have to fill
    9·2 answers
  • The total bill for a dinner,before tax,is $50.00.if you leave an 18% tip,you will leave a tip of?
    12·1 answer
  • The sum of the cost of dinner d and a rip of $12 tip divided equally by 3 people
    9·1 answer
  • Write this in a Algebraic expression. (Use x as your variable) The sum of x squared and y
    8·1 answer
  • 10 x 5/6 please answer
    8·2 answers
  • Emma placed 100 golf balls in a bag. Thirty six of the golf balls were red 24 were blue and the rest were green . If Emma drew o
    12·2 answers
  • H help xxjvfgfhgjjjjjjjjjj
    10·1 answer
  • An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?
    5·1 answer
  • Angela is following this recipe to make biscuits.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!