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
lina2011 [118]
3 years ago
5

Find all the points if any where y-4x=12 intersects 2-y=2(x+2)^2

Mathematics
1 answer:
Stells [14]3 years ago
4 0

Answer:

B

Step-by-step explanation:

given the 2 equations

y - 4x = 12 → (1)

2 - y = 2(x + 2)² → (2)

rearrange (1) expressing y in terms of x

y = 12 + 4x

Simplify (2) by expanding factor and substituting y = 12 + 4x

2 - (12 + 4x) = 2(x² + 4x + 4)

2 - 12 - 4x = 2x² + 8x + 8

- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form

add 10  + 4x to both sides

2x² + 12x + 18 = 0 ← in standard form

divide through by 2

x² + 6x + 9 = 0

(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3

Point of intersection = (- 3, 0 ) → B



You might be interested in
A team manager buys a team jacket and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $10.70. T
Ilya [14]

Answer:

293/10=u

thats the equations

3 0
2 years ago
Will give brainliest or however its spelled THis will have to things you need to help me with!! I need help now because its due
alexdok [17]

Answer:

18

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Why are jobs in the labor market outsourced from the United States to other countries such as Mexico and India?
stira [4]
Labor and goods in other countries such as Mexico and India are far cheaper and easier to access 
8 0
3 years ago
What is the equation of the line that passes through the point (8,−4) and has a slope of 1/2
jeka57 [31]

Answer:

y=1/2x+8

Step-by-step explanation:

-4=1/2*8+b

-4=4+b

b=4+4

b=8

6 0
3 years ago
Homework I need help
seraphim [82]
-0.3 is the. correct answer.
8 0
3 years ago
Other questions:
  • Consider the following. y = 2xe−x, y = 0, x = 3; about the y-axis (a) Set up an integral for the volume V of the solid obtained
    15·1 answer
  • Can some one help with this one question please
    15·1 answer
  • Dentify the transformation that carries the figure onto itself.
    7·2 answers
  • In which interval is the rate of change the greatest?
    13·1 answer
  • How many more years is the avearge life span of a alligator then a tiger
    15·2 answers
  • Please help someone..
    7·2 answers
  • What is the answer to: 4 2/3÷(-1 1/4)<br> A. 2.57<br> B. 7 20/21<br> C. 1/36
    6·2 answers
  • I need the answer but I don’t quite understand
    15·1 answer
  • Need help ASAP! Directions and problem in picture;) <br><br> What is the value of ?
    9·1 answer
  • Describe AT LEAST THREE similar themes in these two talks. In other words, if these writers were speaking in conversation with o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!