(x – 2)² = 5(y + 1), where x and y are measured in centimeters. You need to place a new light bulb in your flashlight. How far away from the vertex of the parabolic mirror should you place the bulb to ensure a perfect beam of light? The bulb should be placed .

Answers

Answer 1

Answer:

The coordinates of the point the bulb should be placed is (2, 0.25)

Explanation:

The given equation of a parabola is presented as follows;

(x - 2)² = 5·(y + 1)

The point the bulb should be placed is the focus of the parabolic mirror to ensure a perfect (straight) beam

The general form of the equation of a parabola is (x - h)² = 4·p·(y - k)

The coordinates of the focus of the parabola for p > 0 f = (h, k + p)

By comparison, h = 2, k = -1, and p = 5/4

∴ The coordinates of the focus of the parabola, f = (2, -1 + 5/4)  = (2, 0.25)

The coordinates of the point the bulb should be placed is at the focus, f =  (2, 0.25).


Related Questions

Pablo kicked a ball that went 12m/s at 14° from the ground to fly through the goalie's hands. How high did the ball go?​

Answers

Answer:

Explanation:

There are a couple of things we need to clear up before we start the problem. First of all, we are given an angle in the problem along with an initial velocity. BUT this is what I call a "blanket" velocity: it is neither the upwards velocity nor is it the horizontal velocity. In order to find either the upwards velocity or the horizontal velocity we have to use either the sin or the cos function, respectively. Since we are working ONLY in the y-dimension, which is up and down, we use the sin function along with the given velocity to find the upwards velocity of the ball. Secondly, we have to know that the final velocity at the max height of the ball is 0. So here is what we have:

v₀ = 12sin14 so

v₀ = 2.9 m/s

a = -9.8 m/s/s

v = 0 m/s

Δx = ??? m

The equation we need is

v² = v₀² + 2aΔx and filling in:

0 = (2.9)² + 2(-9.8)Δx and

0 = 8.4 - 2.0 × 10¹Δx and

-8.4 = -2.0 × 10¹Δx so, to the correct number of sig dig,

Δx = 170 m

1 .
crest
the energy of light
2 .
wavelength
makes it possible to see things
3 .
light
a source of light
4 .
X-rays
top of wave
5 .
sun
bottom of wave
6 .
radiant
distance from one point on one wave to the same point on the next wave
7 .
trough
longer wavelengths than visible light
8 .
infrared light
shorter wavelengths than visible light

Answers

Answer:

Find answers below.

Explanation:

1. Radiant: the energy of light.

2. Light: makes it possible to see things.

3. Sun: a source of light. This source of light is referred to as solar energy and it's renewable source of energy.

4. Crest: top of wave. Thus, it's typically the highest part of an electromagnetic wave.

5. Trough: bottom of wave. Thus, it's typically the lowest part of an electromagnetic wave.

6. Wavelength: distance from one point on one wave to the same point on the next wave.

7. Infrared light: it has longer wavelengths than visible light.

8. X-rays: shorter wavelengths than visible light.

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.

Difinition of peel?and write the main point

Answers

Answer:

PEEL writing offers writers the ability to write through a structure. It helps to express your ideas and opinions to the reader in writing a PEEL paragraph.

Explanation:

PEEL writing gives your thoughts a deep perception. The writing techniques are very simple, but they can be complicated.

The Point, Evidence, Explanation and Link is an acronym for PEEL. All of them belong to the paragraph. The main way to master PEEL writing is consistent practise. You will find it very easy to learn when you understand the nature of the essay. Other important aspects of writing are planning and research.

Point:-

This is the most important, because it is the first part of the paragraph. The first sentence describes the point to be discussed in the entire paragraph. The opening phrase is the subject phrase. To make them understand the whole paragraph, the first sentence should be clear to the audience.

This section is also a key part of the essay. After you have written an analysis, you have a clear idea of what the reader can convey.

a beaker contain 300ml of water.what is the volume in centi meter cube

Answers

Answer:

300cm^3

Explanation:

1ml = 1cm^3

=>300 ml = 300 cm^3

A 560 Hz tuning fork and a piano key are struck together, and four beats are heard. When a 572 Hz tuning fork and the same piano key are struck, eight beats are heard. What is the frequency of the piano key?
564 Hz
556 Hz
572 Hz
560 Hz

Answers

Answer:

556

Explanation:

Sometimes people state that speed and velocity are the same. People make such a mistake because they forget that velocity describes both speed and——————

Answers

Answer:

Time

Explanation:

To find velocity (also known as distance), you need both the speed and time.

gia tốc a và vận tốc v cùng chiều khi nào trong một chu kì dao động điều hòa ?

Answers

Explanation:

Khi một hạt thực hiện SHM Đang chuyển động từ vị trí cực biên về vị trí trung bình, thì vận tốc và gia tốc cùng hướng, tức là hướng về vị trí trung bình

A man of mass 60kg runs with a constant velocity. He has kinetic energy of 750 joules. calculate his velocity​

Answers

Given, mass of the man, m=60kg

Kinetic energy of the man, E

k

=750J

If v is the velocity of the man, then

E

k

=

2

1

mv

2

or v=

m

2E

k

=

60

2×750

=5m/s

Answer:

[tex]{ \bf{kinetic \: energy = \frac{1}{2}m {v}^{2} }} \\ { \tt{ 750= \frac{1}{2} \times 60 \times {v}^{2} }} \\ { \tt{ {v}^{2} = 25 }} \\ \\ { \tt{v = \sqrt{25} }} \\ { \bf{velocity = 5 \: m {s}^{ - 1} }}[/tex]

7.) A neutral atom loses two electrons. Which of the following ions might result? HELP ME ASAP!!!

Answers

Answer:

A. Mg+2

Explanation:

im not sure, but since it lost two electrons which have a negative charge it gained two charge.

A fiber-optic rod consists of a central strand of material surrounded by an outer coating. The interior portion of the rod has an index of refraction of 1.97. If all rays striking the interior walls of the rod with incident angles greater than 50.4° are subject to total internal reflection, what is the index of refraction of the coating?

Answers

Answer:

The refractive index of the outer coating is 1.52.

Explanation:

Refractive index of interior part, n' = 1.97

critical angle, C = 50.4°

Let the refractive index of the coating is n.

Use the Snell's law,  

[tex]n\times sin r = n'\times sinC\\\\n\times sin 90 = 1.97 \times sin 50.4\\\\n = 1.52[/tex]

If a driver makes contact with a steering wheel during a 35 mph crash, she comes to rest in about Δ=15 ms. If, during an identical crash, the driver makes contact with an air bag, she comes to rest in about Δ=110 ms. What is the ratio of the force exerted by the steering wheel to the force exerted by the air bag on the driver?

Answers

Answer:

The ratio of forces is 22 : 3.

Explanation:

Case I:

initial velocity, u = 35 mph

final velocity, v = 0

time, t = 15 ms

Case II:

initial velocity, u = 35 mph

final velocity, v = 0

time, t' = 110 ms

let the mass is m.

According to the Newton's second law, the force is given by the rate of change of momentum.

So

[tex]F =\frac{m(v-u)}{t}\\\\F'= \frac{m(v-u)}{t'}\\\\So, \frac{F}{F'} =\frac{t'}{t}\\\\\frac{F}{F'}=\frac{110}{15}=22:3[/tex]

Hey guys Im Anushka from India... pls help me out in this question..

What is linear motion?

What is rotational motion?​

Answers

Answer:

Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension.

Explanation:

Rotation around a fixed axis is a special case of rotational motion. The fixed-axis hypothesis excludes the possibility of an axis changing its orientation and cannot describe such phenomena as wobbling or precession

ayuda!!!!!!!!!!! es para ahora :((

Answers

14. La amplitud de la onda es: E. 10cm
15. El periodo de la onda es: C. 6seg.


Spending more time with her grandchildren is most likely a short-term goal
for a person of which of these ages?
A. 20 years old
B. 10 years old
C. 30 years old
D. 60 years old

Answers

Answer:60

Explanation:

I think it’s D but I am not sure

scientific investigations

Answers

i don’t know what you are trying to ask complete my but here are the steps to a scientific investigation i hope this helps you

A car travelling along a straight road has kinetic energy of 180 kJ. The brakes are applied, and it is brought to rest over a distance of 60 m. What is the average force of the car breaks?
A. 3 N

B. 3000 N

C. 10,800 N

Answers

Answer:

Given,

w= 180J

s=60m

W=F×s

180=F×60

180/60=F

F= 3 N

1 .
the ratio of work output to work input or the ratio of AMA to IMA
efficiency
2 .
the energy of a moving object
kinetic energy
3 .
a grooved wheel over which a rope can move
pulley
4 .
a double-sided inclined plane
screw
5 .
an inclined plane wrapped around a cylinder
wedge

Answers

Answer:

1. Efficiency

2. Kinetic energy

3. Pulley

4. Screw

5. Wedge

Explanation:

1. Efficiency: the ratio of work output to work input or the ratio of actual mechanical advantage (AMA) to ideal mechanical advantage (IMA).

Mathematically, the efficiency of a machine is given by the formula;

[tex] Efficiency = \frac {MA}{IMA} * 100 [/tex]

2. Kinetic energy: the energy of a moving object. Kinetic energy (KE) is an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

3. Pulley: a grooved wheel over which a rope can move. It is made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

4. Screw: a double-sided inclined plane. It is held in position and then used to tighten two or more objects together.

5. Wedge: an inclined plane wrapped around a cylinder. It can be used to split objects into halves.

A room has a rectangular shape of 4000 mom by 3600mm according to the architecture plan It is supposed to be fitted with tiles which are square in shape and size of 12 cm. How many tiles are required to cover the entire floor​

Answers

Explanation:

First find the area of the entire floor:

Area of a rectangle= length × width

( 4000mm× 3600mm)

14400000mm²

Area of one square tile??= side ×side

12cm×12cm

144cm²

Convert cm to mm

1cm²=100mm²

144cm²=144cm²/1cm²×100mm²

=14,400mm²

Number of tiles required to cover the entire floor= 14400000mm²/14400mm²

=1000

An elevator of 3 × 10^4N is raised to a height of 100m in 20s . The work done by electric motor is equivalent to?​

Answers

Answer:

there it is fella tried on ma own observation

1. A balloon rubbed against denim gains a charge of -8.0 uC. What is the electric
force between the balloon and the denim when the two are separated by a dis-
tance of 5 x 10-2 m?

Answers

Answer:

the ballon is purple

Explanation:

When is the kinetic energy of the ball zero and when is it at its highest? When is its potential energy at its lowest and at its highest? What happens to the kinetic energy and potential energy between point A and point B? (3 points)

Answers

Answer:

if there is only one planet in the universe and the ball is there it will have 0 kinetic energy if the ball is in the very center of that planet only if the planet itself is absolutely motionless. its at its highest if the planet is moving away from the ball at a slightly faster speed forever. Between point A and B both potential energy and kinetic energy are at perfect 0.

Explanation:

never will have a measurable kinetic or potential energy status unless every single object is included in the calculation.

Please help! This is due in 10 minutes!! I will mark brainliest asap

Answers

The object is at rest. This is because time is going by and there’s no distance being added
Third option is the answer aka the object is resting hope this helps you

what is the Young's modulus of a perfect rigid body​

Answers

Answer:

Infinite

Explanation:

Young's modulus is infinite and bulk modulus is zero.

Answer:

Young's modulus is the ratio of tensile stress ( force of elasticity ) to tensile strain ( extension ).

Explanation:

[tex]E = \frac{stress}{strain} [/tex]

What is the activity of a source that emits 1,200 particles per minute?
A. 1,200 Bq

B. 20 Bq

C. 72,000 Bq

Answers

What is the activity of a source that emits 1,200 particles per minute?

[tex]\boxed{ B. \:20 \:Bq }[/tex]

Explanation:

20 Bq is the activity of a source that emits 1,200 particles per minute. Activity is the number of decays per second. The SI unit for activity is becquerel (Bq).

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

B) 20 Bq

The activity of a source that emits 1,200 particles per minute is 20 Bq.

-------------------------

☆hope it helps

☆have a great day!!

Nesse texto, um argumento usado para defender a ideia de que o filme A Caminho da Lua cumpre o papel de tocar e de entreter encontra-se no trecho:
“O filme foca em Fei Fei, garota de 12 anos que enfrenta dificuldades em superar o luto pela mãe e aceitar a nova noiva de seu pai.”. (1º parágrafo)
“... a menina decide construir um foguete para viajar até o satélite...”. (1º parágrafo)
“O que faz o longa se destacar é seu cenário mergulhado na cultura chinesa e a delicadeza com que o luto e sua superação são tratados.”. (2º parágrafo)
“... o foco quase exclusivo na garota prejudica todos os outros personagens...”. (3º parágrafo).

ajudem_me

Answers

Answer:O que faz o longa se destacar é seu cenário mergulhado na cultura chinesa e a delicadeza com que o luto e sua superação são tratados.

Explanation:

Por que se você pensar ela estava sempre buscando superar a morte da mãe.

A car travels first 30 km at a uniform speed of 20 km
/hr and went 30 km at a uniform speed of 40 km/hr
Find its average speed in km/hr

Answers

Answer:

20 = 30 / t1

t1 = 3/2

40 = 30 / t2

t2 = 3/4

average speed = total distance / total time taken

= 30 + 30 / 3/2 + 3/4

= 60 /9/4

= 60 × 4/9

= 26.667

Please help!!! I will mark brainliest asap, this is due in 10 minutes!

Answers

Answer:

speed

(distance per time)

Kathy is faster btw

7. Speed because it’s time with distance.
8. Kathy, because she is traveling longer distance in a shorter time which is more speed.

The drone can fly for 25 minutes before the battery needs recharging.
The power output of the battery is 65.0 W
Calculate the maximum energy stored by the battery.

Answers

Answer:

105.6 KJ

Answer

3.7/5

4

hope this will help you friend.

A small bar magnet is placed in the magnetic field of a larger
bar magnet, at the position marked Zin the diagram below.
Assuming the small bar magnet is free to rotate, how would it
be positioned?
X
no
N
S
O A.
N.
B.
N
s
O c.
S
O D.
S

Answers

x for a smaller magnet at the position marked zin

used to measure temperature
used to measure force
prefix that means 1/100
prefix that means 1,000
prefix that means 1/1,000

Answers

Answer:

prefix that means 1/100 = Centi

prefix that means 1,000 = Kilo

prefix that means 1/1000 = Milli

Explanation:

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