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
nata0808 [166]
4 years ago
12

Write in standard form. y=-(x-3)^2+2

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
6 0

Answer:

y=x2+6x+9+2=x2+6x+11

Step-by-step explanation:

You might be interested in
Which of the points (s, t) is not one of the vertices of the shaded region of the
Vaselesa [24]

Answer:

the answer is (7.5,0) happy cheating to y'all lol

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Consider a diving board that is 10 feet above a pool. If the ladder is 5 feet away from the base of the diving board, approximat
gayaneshka [121]

Answer:

15

Step-by-step explan

5 0
3 years ago
Two identical quarter circles are cut from a rectangle as shown.
Taya2010 [7]
We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.

This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.

To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:

A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)



7 0
3 years ago
8. TEMPERATURE To convert a temperature in degrees Celsius to degrees
Evgen [1.6K]

Answer:

do you know the answer

Step-by-step explanation:

4 0
3 years ago
The intensity of light with wavelength λ traveling through a diffraction grating with N slits at an angle θ is given by I(θ) = N
Ymorist [56]

Answer:

0.007502795

Step-by-step explanation:

We have

N = 10,000

\bf d=10^{-4}

\bf \lambda = 632.8*10^{-9}

Replacing these values in the expression for k:

\bf k=\frac{\pi Ndsin\theta}{\lambda}=\frac{\pi10^4*10^{-4}sin\theta}{632.8*10^{-9}}=\frac{\pi 10^9sin\theta}{632.8}

So, the intensity is given by the function

\bf I(\theta)=\frac{N^2sin^2(k)}{k^2}=\frac{10^8sin^2(\frac{\pi 10^9sin\theta}{632.8})}{(\frac{\pi 10^9sin\theta}{632.8})^2}

The <em>total light intensity</em> is then

\bf \int_{-10^{-6}}^{10^{-6}} I(\theta)d\theta=\int_{-10^{-6}}^{10{-6}}\frac{10^8sin^2(\frac{\pi 10^9sin\theta}{632.8})}{(\frac{\pi 10^9sin\theta}{632.8})^2}d\theta

Since \bf I(\theta) is an <em>even function</em>

\bf \int_{-10^{-6}}^{10^{-6}} I(\theta)d\theta=2\int_{0}^{10^{-6}}I(\theta)d\theta

and we only have to divide the interval \bf [0,10^{-6}] in five equal sub-intervals \bf I_1,I_2,I_3,I_4,I_5 with midpoints \bf m_1,m_2,m_3,m_4,m_5

The sub-intervals and their midpoints are

\bf I_1=[0,\frac{10^{-6}}{5}]\;,m_1=10^{-5}\\I_2=[\frac{10^{-6}}{5},2\frac{10^{-6}}{5}]\;,m_2=3*10^{-5}\\I_3=[2\frac{10^{-6}}{5},3\frac{10^{-6}}{5}]\;,m_3=5*10^{-5}\\I_4=[3\frac{10^{-6}}{5},4\frac{10^{-6}}{5}]\;,m_4=7*10^{-5}\\I_5=[4\frac{10^{-6}}{5},10^{-6}]\;,m_5=9*10^{-5}

<em>By the midpoint rule</em>

\bf \int_{0}^{10^{-6}}I(\theta)d\theta\approx\frac{10^{-6}}{5}[I(m_1)+I(m_2)+...+I(m_5)]

computing the values of I:

\bf I(m_1)=I(10^{-5})=\frac{10^8sin^2(\frac{\pi 10^9sin(10^{-5})}{632.8})}{(\frac{\pi 10^9sin(10^{-5})}{632.8})^2}=13681.31478

\bf I(m_2)=I(3*10^{-5})=\frac{10^8sin^2(\frac{\pi 10^9sin(3*10^{-5})}{632.8})}{(\frac{\pi 10^9sin(3*10^{-5})}{632.8})^2}=4144.509447

Similarly with the help of a calculator or spreadsheet we find

\bf I(m_3)=3.09562973\\I(m_4)=716.7480066\\I(m_5)=211.3187228

and we have

\bf \int_{0}^{10^{-6}}I(\theta)d\theta\approx\frac{10^{-6}}{5}[I(m_1)+I(m_2)+...+I(m_5)]=\frac{10^{-6}}{5}(18756.98654)=0.003751395

Finally the the total light intensity

would be 2*0.003751395 = 0.007502795

8 0
3 years ago
Other questions:
  • ray and hunter sell newspapers after school. ray earns $11 more than hunter. if ray earns $25,how much money does hunter earn?
    8·1 answer
  • Kiran is spending $12 on games and rides at a carnival where a game costs $0.25 and a ride cots $1.
    10·2 answers
  • Which Angle Is Supplementary To &lt;EOA <br> A.&lt;EOD B.&lt;AOB C.&lt;EOC D.&lt;AOC
    11·2 answers
  • Which expression is equivalent to 9.7d+4.1+5.1d-9.2
    14·1 answer
  • 2S=100+100+100+...+100+100+100
    15·2 answers
  • 12 large bottles of water is 9$
    13·1 answer
  • Three times a number minus five equals two times the number.
    12·2 answers
  • Please help im giving away a lot of points
    11·1 answer
  • 50÷3 <br> Fracción completa
    13·2 answers
  • The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!