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
a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?​
GrogVix [38]

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

8 0
2 years ago
Read 2 more answers
Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Sonja [21]

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

7 0
3 years ago
Which numbers are irrational? Check all that apply.
zalisa [80]

Answer: B, E, and F

Step-by-step explanation: :)

5 0
3 years ago
Which expression is equivalent to 36 ÷ 4? 4 ÷ 36 36 ÷ x 36 x
denis23 [38]

Answer:

36 x 1/4

Step-by-step explanation:

divide sign can be written in the form 1/x. so by the above equation it means that 36 ÷ 4 = 36 x 1/4

7 0
3 years ago
Describe the graph of the inequality on a number line: x ≥ 11
Phantasy [73]

Answer:

Here is how it should look

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Stephen collected 12 more coins than Sariyah. How many coins Sariyah collect?
    10·2 answers
  • dentify the type of data​ (qualitative/quantitative) and the level of measurement for the native language of survey respondents.
    7·1 answer
  • Ok i dont get this helpp!!!
    13·1 answer
  • Solve |x−4|+3=3 Then explain your result that you discovered. How many solutions did you get and why?
    8·1 answer
  • Question 27 (1 point)
    9·1 answer
  • How do you divide this? I don't get it. Like, I know HOW to divide decimals, but this is confusing me.​
    7·1 answer
  • A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 +
    14·2 answers
  • Please help I NEED THE ANSWER IN THE NEXT 2 MINUTES
    10·1 answer
  • PLEASEEE HURRY I WILL GIVE BRAINLEST
    15·1 answer
  • 9029<br> 2066<br> 10<br> 4<br> -6-54-3-2-12- 2 3 4 5 6 x<br> -f(x)<br> -6<br> -8<br> -10<br> -12+
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!