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
SOVA2 [1]
2 years ago
12

The line 2x + 5y = 1 meets the curve x² + 5xy - 4y² + 10 = 0 at the points A and B

Mathematics
1 answer:
lys-0071 [83]2 years ago
7 0

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

You might be interested in
Which set of side lengths form a right triangle?
OLga [1]
I have taken the test and I can confirm that the answer is

B. 15 m, 20 m, and 25 m.

Have a fantastic day!
4 0
3 years ago
Read 2 more answers
Answer the question.​
Gelneren [198K]

Answer: 3y

Step-by-step explanation: hope this helps :)

3 0
3 years ago
Read 2 more answers
D = 4ac - b²<br><br>true or false<br><br>Answer:<br><br>Reason:​
Naily [24]

Answer: FALSE

Reason: The Discriminant determines how many or what are the nature of the roots. To get the Discriminant of a quadratic equation, find the square the value of 'b' subtracted to the product of 4, the value of 'a', and the value of 'c'.

<h2>D - b² - 4ac</h2>

hope this helps :)

4 0
3 years ago
Read 2 more answers
Can you help me solve this question
IRINA_888 [86]

Answer: Coordinates: (1,3) length RS: 3 length RT: 2 ST: 3.6

Step-by-step explanation:

a^2+b^2=c^2

3^2+2^2=c^2

9+4=c^2

13=c^2

3.6=c

3 0
1 year ago
Tell me what the slope and y intercept means to you
natka813 [3]
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis)
3 0
3 years ago
Other questions:
  • simi bought a study table for $9000 she sold it at a profit of 20 percent how much profit did she make? what is the selling pric
    11·1 answer
  • I’m not sure Wht to do?
    9·1 answer
  • Tell where you should place the first digit in the quotient 4839 divided by 15. Then determine the first digit and explain how y
    6·1 answer
  • Guys please help me!!
    10·1 answer
  • Area of a rectangle<br> Equation
    8·2 answers
  • 1000 digits of pi...
    12·2 answers
  • What does (8/7)^4 equal?
    12·1 answer
  • What is the standard equation of a circle with center (-2,0) and radius 4?
    13·1 answer
  • A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?
    15·1 answer
  • (i need a fast and clear answer please and ill also mark you as brainlyest)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!