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
VashaNatasha [74]
3 years ago
9

Simultaneous Equations: Find the two intersects of x^2 + y^2 = 25 and y = 2x - 2

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0
X^2 + y^2 = 25 (1)
y = 2x - 2 (2)

Subs (2) into (1)

x^2 + (2x - 2)^2 = 25
• Expand the eq like below

x^2 + (2x-2)(2x-2) = 25

x^2 + 4x^2 + 4x - 4x + 4 = 25
• Cancel out 4x-4x which is equals to zero

5x^2 = 25
• Divide both sides with 5

x^2 = 5
• To remove the square (^2) on the x, you need to square root both sides

x = 5 or x = -5

Subs x = 5 and x = -5 into (2)

y = 2x - 2
y = 2(5) - 2 = 10 - 2 = 8

y = 2x - 2
y = 2(-5) - 2 = -10 - 2 = -12

Therefore the intersection points are:

x=5, y= 8
x= -5, y= -12
You might be interested in
Two quantities, x and y, are directly proportional. If x is tripled, what happens to y? It is multiplied by 13. It is tripled. I
prisoha [69]
Answer: It is tripled.

Since x and y are proportional, whatever happens to x must happen to y in order for the two values to stay proportional.
7 0
3 years ago
Read 2 more answers
What is the measure of angle A?
NikAS [45]

Answer:

78

Step-by-step explanation:

in a quadrilateral that's inscribed in a circle, opposite angles are supplementary.

102+78=180

3 0
3 years ago
What is the unit rate for meters per second if a car travels 450 meters in 25 ​seconds?
Fantom [35]
M/s =meters per second
7 0
3 years ago
Read 2 more answers
PLEASE HELP DUE TONIGHT! 100 PTS
Naily [24]

Answer:

a. $15.00

b. $15.00

c. they earn the same. If you divide Carl's hours by the amount of time he works, for instance, 45÷3=15, you get 15 for all of them. They earn the same.

7 0
3 years ago
Read 2 more answers
Noor rode her bike two fifth mile in one twelfth hour. At this rate, how far would Noor ride her bike in 1 hour?
Liula [17]
2/5 in 1/12 of an hour

x in 1 hour

So multiply 12 to both fractions

2/5 x 12 in 1/12 x 12 of an hour

We get now:

24/5 in 1 hour

or:

4 4/5 in 1 hour


8 0
3 years ago
Read 2 more answers
Other questions:
  • For a house call, a veterinarian charges $70, plus $40 an hour. Write an equation that represents the total fee y (in dollars) t
    6·2 answers
  • Order from great to least 2/3 0.67 5/9 0.58 7/12
    5·1 answer
  • The minimum degree of rotation by which this octagon can map onto itself is?
    7·2 answers
  • The sum of two consecutive numbers is n+1. What are the numbers?
    11·1 answer
  • Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result
    5·1 answer
  • The information is in the picture PLEASE HELP ME
    11·1 answer
  • What is 100 divide bye 257? please explain your answer
    11·2 answers
  • Complete the table for the relationship shown in the graph
    8·1 answer
  • In.
    14·1 answer
  • The wholesale price for a chair is 194$ . A certain furniture store marks up the wholesale price by 35%. Find the price of the c
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!