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
LUCKY_DIMON [66]
3 years ago
15

4x2 + 9y2 = 72 x - y2 = -1 Select all of the following that are solutions to the system shown.

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0
You haven't listed the possible solutions, so in the immediate present I can help only by suggesting that you try solving this system and checking your own answers thru subst. into the given equations.

Please be sure to use "^" to indicate exponentiation, as shown below:

<span>4x2 + 9y2 = 72    should be 4x^2 + 9y^2 = 72 (this is the eq'n of an ellipse)
x - y2 = -1       should be x - y^2 = -1 (this is the equation of a parabola)

We must eliminate either x or y.  I will solve the 2nd equation for y^2 and subst. the result into the first eq'n.:

y^2 = x+1.  Subst. this into the first equation, 

</span>4x^2 + 9y^2 = 72 becomes 4x^2 + 9(x+1) = 72.

Expanding, 4x^2 + 9x + 9 = 72, or 4x^2 + 9x - 63 = 0

We must solve this quadratic equation to obtain the x-coordinates of possible solutions of the original system of equations.
                                                   -9 plus or minus 33
After some work, we get    x = ------------------------------
                                                                 8

So x = 24/8 = 3, or   x = -42/8   =   -5 1/4  or   -21/4

Check out x=3.  We already have the relationship   y^2 = x+1.  If x = 3, then y^2 = 3+1 = 4, and y is plus or minus 2.

Two possible solutions of the original set of equations are thus (3,2) and (3,-2).  You MUST check both solutions thru substitution to determine whether they satisfy the original equations or not.
You might be interested in
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
aksik [14]

Answer:

Neither; see below

Step-by-step explanation:

Your acceleration: a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2

Your friend's acceleration: a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2

Therefore, since both you and your friend accelerate at the same rate, neither is faster.

7 0
2 years ago
Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve
Gekata [30.6K]

Answer:

He should have moved to the right.

Step-by-step explanation:

Ken moved 7 to the right which is correct because he needs to get 7º higher, but when he moved 2º to the left that would be a temperature decrease which is is incorrect.

7 0
3 years ago
Read 2 more answers
What is the mode of the data shown below?
aev [14]
C
there can be more than one mode. 20 and 30 have the same amount and are most frequent
3 0
2 years ago
What is a reclusive formula?
-Dominant- [34]

Answer:

a formula that defines each term of a sequence using preceding terms

Step-by-step explanation:

gogle

3 0
2 years ago
Read 2 more answers
Jenna borrowed $5,000 for 3 years and had to pay $1,350
kobusy [5.1K]

Answer:

0.09 or 9%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 1350

P = 5000

t = 3

Finding r:

r = I/(Pt)

r = 1350/(5000 x 3)

r = 1350/15000

r = 0.09

0.09 or 9%

5 0
2 years ago
Other questions:
  • A number increased by 3 is two times the number
    14·1 answer
  • George is starting his own business selling frogs and rainbow popsicles. At the end of his first day of business he checked his
    8·1 answer
  • What is the correct answer to -4|5+-3|
    12·1 answer
  • What is the ratio of 7 hours and 4 lawns.
    9·2 answers
  • the function f(x)=x^2 the graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for
    11·1 answer
  • Did you hear about the pig that built himself a home ?
    9·1 answer
  • Select the correct answer.
    13·1 answer
  • 4 1/5 divided by 2/3 express your answer as a mixed number in Simplest form
    14·1 answer
  • (4/4)(4)(4)(4)(4)(4)(4) =
    6·2 answers
  • - A board was 24 3/8 inches long. A worker cut it into
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!