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
maks197457 [2]
3 years ago
10

4x2 + 9y2 = 72 2x - y = 4 Which of the following is a solution to the system shown?

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
You might be interested in
PLEASE HELP - Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
kozerog [31]
Its the third option on E2020
4 0
3 years ago
Read 2 more answers
At a yearly basketball tournament, 64 different teams compete. After each round of the tournament, one-fourth of the teams remai
artcher [175]

Answer:

64*(1/4)^x

Step-by-step explanation:

64 is the starting number because it is given, and x represents how many rounds there are. 1/4 represents how much of the teams remain after each round.

5 0
3 years ago
Question in the image
Komok [63]

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

8 0
3 years ago
Some one help not sure! i’ll mark brainlest
Anna [14]

Answer:

Ya, Its B.

Step-by-step explanation:

You divide the centimeter value you buy a 100 to get the meter value

5 0
3 years ago
Read 2 more answers
What is the value of z in the equation 2(4z − 3 − 21) = 166 − 46? 21 24 30 36
Nataly_w [17]
2(4z-3-21)=166-46

Combine like terms
2(4z-24)= 120

Distribute
8z-48= 120

Add 48 to both sides
8z= 168

Divide both sides by 8
z=21

Final answer: z=21
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find two consecutive odd numbers such that the sum of three-sevenths of the first number and one-third of the second number is e
    13·2 answers
  • Ellen works at a job that pays $11.25 per hour. She spends an average of $20.00 a week at the local store. Which expression belo
    8·1 answer
  • A wall of a building is 30 inches wide.sixteen inches is concrete,8 inches is brick,and 6 inches is limestone . What fraction of
    10·1 answer
  • How to compare these
    9·2 answers
  • Please help I’m being timed
    11·1 answer
  • The problems in this lesson review basic arithmetic skills.
    5·1 answer
  • Solve<br> 11x-6y=3 ; 5x-8y=-25
    12·1 answer
  • Pls help ASAP I’ll brainlest pls
    5·2 answers
  • 3. Find the slope of the line through the pair of points.<br> (12, 2), (-7,5)
    14·1 answer
  • If a fair, -sided die is rolled twice, what is the probability It will land on 1 and then 6?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!