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
aksik [14]
3 years ago
15

Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w

ith equation y = 2.5 x + 2 y=2.5x+2 intersect the circle with radius 6 and center (0, 2)?
Mathematics
1 answer:
garri49 [273]3 years ago
7 0
Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2

Substitute for y in the equation of the circle:-

x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25  

x = +/-   6  /  2.693  =  +/- 2.228

when x = 2.228 y = 2.5(2.228) + 2 =  7.57    to nearest hundredth

when x = -2.228 y = 2.5(-2.228) + 2 =   -3.57

So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57)        to nearest hundredth.
You might be interested in
Which table of ordered pairs represents a proportional relationship?
natali 33 [55]

Answer:

B

Step-by-step explanation:

Every (x,y) pair is equal to each other, thus making them proportional :)

5 0
1 year ago
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Nadusha1986 [10]

Answer:

ABC is isosceles

Step-by-step explanation:

3 0
2 years ago
Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)
madreJ [45]
Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
18-9=c
9=c

the equation is 2x+3y=9
4 0
3 years ago
Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
Ostrovityanka [42]
We have that an inverse variation in a function is given by:
 y = k / x

 We must find the value of the constant k.
 To do this, we substitute the values of x1 = 12, y1 = 15.
 We have then:
 15 = k / 12

 Clearing k we have:
 k = (15) * (12)

k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x

 For y2 = 3 we have:
 3 = 180 / x2

 Clearing x2 we have:
 x2 = 180/3
 x2 = 60
 Answer:
 
x2 = 60
3 0
3 years ago
Find the mean of 81, 97, 99, 89, 91, 76 (round to the hundredths)
Marta_Voda [28]

Answer:

88.83

Step-by-step explanation:

To find the mean of a set of numbers is to find the average a set of numbers.

To solve for the mean you have to add all of the values together and divide that sum by the number of values there are.

Ex. 81, 97, 99, 89, 91, 76

     81 + 97 + 99 + 89 + 91 + 76 = 533

     533 / 6 = 88.83

               ↓

     (number of values)

3 0
3 years ago
Other questions:
  • At dee dee's dinette the probability that a customer orders coffee is 0.60, the probability that a customer orders pie is 0.35,
    11·1 answer
  • If someone types the alphabet then you can earn 16 points, because why not.
    7·1 answer
  • The table shows the amount of time, in minutes, it takes to walk a given distance, in miles, along the path. Complete the table
    11·1 answer
  • Kamiko and her 4 sisters each have
    12·1 answer
  • Can someone please help me asap
    8·2 answers
  • If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in
    10·1 answer
  • Help please??? I'm confused-
    11·1 answer
  • HELP PLEASE
    14·1 answer
  • Answer in one decimal places​
    15·2 answers
  • What is overlapping set​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!