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
Nonamiya [84]
3 years ago
15

A circular pond is modeled by the equipment x^2+y^2=225. A bridge over the pond is modeled by a segment of the equation x-7y=-75

. What are the coordinates of the points where the bridge meets the edge of the pond?
Mathematics
1 answer:
makkiz [27]3 years ago
3 0
X² + y² = 225
x - 7y = -75

x = 7y - 75

x² + y² = 225
(7y-75)² + y² = 225
(7y - 75)(7y - 75) + y² = 225
49y² - 525y - 525y + 5625 + y² = 225
50y² - 1050y + 5400 = 0
50(y² - 21y + 108) = 0

y² - 21y + 108 ⇒ (y - 12)(y - 9)

x = 7(12) - 75
x = 84 - 75
x = 9       ⇒ (9,12)

x = 7(9) - 75
x = 63 - 75
x = -12 ⇒ (-12,9)

You might be interested in
Which is longer 2 feet or 30 inches
Marizza181 [45]
30 inches is longer....
7 0
3 years ago
Read 2 more answers
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 2
jeka94

Answer:

Un batido de proteínas cuesta $ 5,25.

Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

x + 4\cdot y = 25,50 (1)

3\cdot x + 2\cdot y = 24,00 (2)

Donde x es el coste de un batido de fresa y y corresponde al coste de un batido de proteínas:

1) Despejamos x en (1):

x = 25,50 - 4\cdot y

2) Eliminamos x en (2):

3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00

76,50 - 12\cdot y +2\cdot y = 24,00

3) Simplificamos y despejamos y:

10\cdot y = 52,50

y = 5,25

Un batido de proteínas cuesta $ 5,25.

7 0
2 years ago
In Kim’s homeroom, 4 students have no siblings, 9 students have
Papessa [141]
(9+8+2)/(4+9+8+2)=19/23=82%
Therefore very likely
5 0
2 years ago
Read 2 more answers
A company has a total of 20000 allocated for monthly costs fixed costs are 15000 per month and varible costs are 18.50 per unit
GaryK [48]
X=270 units
270 units can be manufactured per month
3 0
3 years ago
Read 2 more answers
Find the lcm of 7 and 12 show your work. ​
babymother [125]
The factors of 7 are 7, 1.
The factors of 12 are 12, 6, 4, 3, 2, 1.
12*7=84
7 0
3 years ago
Other questions:
  • What property does 8+0=8 show?
    6·2 answers
  • The cost of milk is expected to raise 106% over the next year
    8·1 answer
  • Every year, a teacher surveys his students about the number of hours a week they watch television. In 2002, his students watched
    12·2 answers
  • Which of the following angle relationships can you use to prove that two lines are parallel?
    10·1 answer
  • Mhanifa can you please help? This is due soon. Look at the picture attached. I will mark brainliest!
    6·1 answer
  • Solve the equation 49k^2 = 64 by factoring.<br><br>Can anyone help me pls?​
    9·1 answer
  • A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
    6·1 answer
  • Proving the Congruent Supplements Theorem
    13·2 answers
  • PLEASE HELL ME WITH THIS. I feel like I did it all wrong. I will choose brainliest
    11·1 answer
  • Joel made a scale drawing of a boarding school. A building at the school is 16 millimeters wide in the drawing. The actual build
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!