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
Galina-37 [17]
3 years ago
5

Solve the system by elimination

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0
The answer is x=5 and y=-2

You might be interested in
PLEASE HELP
Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
2 years ago
Read 2 more answers
What is the gcf of 42 and,72
Dmitriy789 [7]

The greatest common factor of 42 and 72 is 6.

6 times 7 is 42. 6 times 12 is 72. There is no greater factor for both numbers except for 6.


Hope this helps!

5 0
3 years ago
Read 2 more answers
Simplify the expression.<br> 11(32 + 5x) + 4x - x
alex41 [277]

Answer:

352+58x

Step-by-step explanation:

Distribute to get 352+55x+4x-x

Combine like terms to get 352+58x.

3 0
3 years ago
Read 2 more answers
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. Wha
Oksana_A [137]
It is either 3/32 or 4 19/32
4 0
3 years ago
An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting
tatuchka [14]

There is only one solution to the equation.  A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive.  Area= side^2

              400= x^2

         sqrt(400)=x

          20 inches = x  

The length of one side is 20 inches


check: 20*20 = 400, which is the area of the square painting.

8 0
3 years ago
Other questions:
  • I don't get this can u help me
    8·2 answers
  • David and Joseph have a total of 328 marbles Matthew and David have 176 marbles Joseph has five times as many marbles does Matth
    15·1 answer
  • How is an inversely proportional relationship different from a directly proportional relationship?
    7·1 answer
  • Use Order of Operations to simplify the following:
    15·1 answer
  • Please help me please please please please
    10·2 answers
  • Which could be the function graphed below?
    11·1 answer
  • Its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45
    10·1 answer
  • 14. Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
    7·1 answer
  • Find the measure of the angles D, E, and F<br> HELP PLZ
    15·2 answers
  • Please answer this correctly without making mistakes
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!