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
777dan777 [17]
2 years ago
14

Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36

Mathematics
1 answer:
Vladimir79 [104]2 years ago
5 0

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

You might be interested in
PLEASE ANSWER! WHOEVER ANSWERS WILL BE MARKED AS BRAINLIEST AND GET 100 POINTS!
Sever21 [200]

Answer:

ok,i know

Step-by-step explanation:

there is no like terms

5 0
3 years ago
Read 2 more answers
How far was it from the shore to the final location of the sub
laiz [17]
There's no picture for me to help you with 
5 0
3 years ago
Which of the following is the quadratic parent function?
kipiarov [429]

Answer:

F(x)=x^2

Step-by-step explanation:


8 0
3 years ago
there are 3 black marbles in and 4 red marbles in a bag. what is the probability that you will pick two black marbles put of the
professor190 [17]

|\Omega|=7\cdot6=42\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\%

5 0
3 years ago
Denice is making 25 bouquets. 4/5 of the bouquets are roses and the rest are daisies. How many bouquets are daisies?
erica [24]

Answer:

5 of the bouquets are Daises.

Step-by-step explanation:

25 in all. 4/5 are Roses.

4/5 = Rose Bouquets  1/5 = Daisy Bouquets

4/5 = 20/25  

1/5 = 5/25

So 5 are Daises

7 0
3 years ago
Other questions:
  • PLEASE HELP ASAP! ALGEBRA!<br><br> (0,5), m=1/3 in point slope form
    9·1 answer
  • The mean of a set of eight numbers is 8 and the mean of a different set of twelve numbers is m. Given that the mean if the combi
    5·1 answer
  • Please find the indicated power.<br><br> (-3)2 = <br><br> (-6)4 = <br><br> (-1)8 =
    6·1 answer
  • What is 74.625 rounded to the nearest tenth?
    7·2 answers
  • The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?
    12·1 answer
  • Find the surface area of the triangular prism below. The bases each have an
    9·1 answer
  • Is √24 a rational number
    5·2 answers
  • How many milliliters are equal to 4.593 liters?
    6·2 answers
  • Help please and thank you!
    13·2 answers
  • PLEASE HELP WILL GIVE BRANLIEST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!