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
Shtirlitz [24]
3 years ago
12

Which is the axis of symmetry of a parabola with equation x^2=-4y?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

x = 0

Step-by-step explanation:

Given

x² = - 4y ( divide both sides by - 4 )

y = - \frac{1}{4} x²

Which is a parabola opening vertically down with it's vertex at (0, 0) and symmetrical about the y- axis

Hence equation of axis of symmetry is x = 0

You might be interested in
The table shows distances run by Jeremy and Mateo in particular amounts of time.
saveliy_v [14]

Answer:

Step-by-step explanation:

2/12 I think it's beenalong time  sinces have done this

8 0
3 years ago
Can someone help me with this one
Viktor [21]

Answer:

y = -4x + (-2)

Step-by-step explanation:

if you plug in the x values in the equation it equals y

4 0
3 years ago
If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg
vlabodo [156]

Consider all employees.

A.

  • gross pay $32,600 - 100%,
  • total job benefits $33,600 - x%.

Then

\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.

Employee A receives 3.07% of gross pay in employee benefits.

B.

  • gross pay $32,900 - 100%,
  • total job benefits $34,000 - x%.

Then

\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.

Employee B receives 3.34% of gross pay in employee benefits.

C.

  • gross pay $33,400 - 100%,
  • total job benefits $33,900 - x%.

Then

\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.

Employee C receives 1.50% of gross pay in employee benefits.

D.

  • gross pay $33,700 - 100%,
  • total job benefits $34,700 - x%.

Then

\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0
3 years ago
Read 2 more answers
What is the inverse to "if i listen to this song, then it will get stuck in my head"
VikaD [51]

Answer:

The answer is: If I do not listen to this song, then it will not get stuck in my head.

3 0
2 years ago
A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
hodyreva [135]

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂  = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

4 0
3 years ago
Other questions:
  • Morgan started the year with $615 in the bank and is saving $25 per week Kendall started with $975 and is spending $15 per week
    11·1 answer
  • Please help!
    5·1 answer
  • Describe the graph of y > mx, where m > 0.
    13·1 answer
  • What is the answer to this question?
    10·1 answer
  • Find the vertex of y = 5 - 3x - x 2
    12·1 answer
  • Pls help i cant find​
    6·2 answers
  • Which formula can be used to describe the sequence?
    13·1 answer
  • Is 21 prime or composite
    11·2 answers
  • PLEASE HELP MEE!!
    7·1 answer
  • Need help ASAP NO LINKS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!