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
blsea [12.9K]
3 years ago
5

A ceiling light has a cross-section in the shape of a parabola. The parabola is 24 cm wide and 9 cm deep. The lightbulb is locat

ed at the focus of the parabola. How far from the vertex is the lightbulb?

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

  4 cm

Step-by-step explanation:

The equation of a parabola with its vertex at the origin can be written as ...

  y = 1/(4p)x^2

The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.

  9 = 1/(4p)(12^2)

  9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p

Then p = 4, and the bulb is 4 cm from the vertex.

You might be interested in
Answer the following questions
EleoNora [17]
1. In a week there are 7 days. So your andwer would be 21/10. The decimal is 2.1.
3 0
3 years ago
What is the value of the expression shown below 10+(2x3)^2 divided by 4x (1/2)^3
stira [4]

Answer:

10 + (2 x 3)^2 / 4 x (1/2) ^3

First do the parentheses

2 x 3 = 6

1 / 2 = 0.5

We are left with

10 + 6^2 /4 x 0.5^3

Do exponents

6 x 6 = 36

0.5 x 0.5 x 0.5 = 0.125

10 + 36 / 4 x 0.125

Divide by 4 and multiply by 0.125

36 / 4 = 9

9 x 0.125 = 1.125

We are left with

10 + 1.125 = 11.125

The answer is 11.125

Step-by-step explanation:

7 0
3 years ago
If someone could explain what i plug into f??
Alexxx [7]
You are correct with part i with what you did so far, but you need to finish it.
What is function f?

i.
\dfrac{f(9) - f(2)}{9 - 2}

ii.
\dfrac{f(1) - f(0)}{1 - 0}

iii.
\dfrac{f(9) - f(-7)}{9 - (-7)}
3 0
3 years ago
The figure shows a small plane flying at a speed of 184 miles per hour on a bearing of N40∘E . The wind is blowing from west to
irinina [24]

Answer

142

Explanation

mark me as brainlist

5 0
3 years ago
How could you describe the maximum the LCM between two numbers could be?
Licemer1 [7]

Answer:

  the product of the two numbers

Step-by-step explanation:

The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.

__

We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.

  LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30

  LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2

3 0
3 years ago
Other questions:
  • Which of the following equations represents the perpendicular bisector of WX graphed below?
    7·1 answer
  • What is the area of a section of pavement that is 20 ft wide and 70 yd long?
    15·1 answer
  • How can the Distance and Midpoint Formulas be used to identify specfic polygons? For example, how could you show that a quadrila
    12·1 answer
  • Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
    7·1 answer
  • You must line up the decimals when your multiplying decimals.
    11·2 answers
  • A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t
    7·1 answer
  • Who got forza horizon 3 on xbox one
    10·2 answers
  • What are the steps on solving multi-step equations and inequalities
    6·1 answer
  • You randomly choose a marble from a jar. The jar contains 4 red marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles.
    11·2 answers
  • if a pair of shoes costs RM350 and ali would like to sell it at RM400. How much profit would ali make?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!