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
zalisa [80]
3 years ago
6

The circle below is centered at the point (4, 3) and has a radius of length 5. What is its equation?

Mathematics
2 answers:
kvasek [131]3 years ago
7 0

Answer:

(x-4)2+(y-3)2=5^2

Leona [35]3 years ago
6 0

Answer:

(x -4)² + (y -3)² = 25

Step-by-step explanation:

The circle centered at (h, k) with radius r has equation

... (x -h)² +(y -k)² = r²

Putting the given numbers into this formula gives

... (x -4)² +(y -3)² = 5²

... (x -4)² + (y -3)² = 25

You might be interested in
A chef is going to use a mixture two different brands of Italian dressing the first spring and days 5% vinegar the second brain
Temka [501]

I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).

The sheriff wants 390 mL of the mixed dressing, so that

<em>x</em> + <em>y</em> = 390

<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means

0.05<em>x</em> + 0.15<em>y</em> = 35.1

Solve for <em>x</em> and <em>y</em> :

<em>y</em> = 390 - <em>x</em>

0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1

0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1

23.4 = 0.10<em>x</em>

<em>x</em> = 234

<em>y</em> = 156

7 0
2 years ago
What is the y-intercept and slope of 3x-5y=15
vlada-n [284]

Answer:

Slope= 3/5

y-intercept= -3

Step-by-step explanation:

3 0
3 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
tresset_1 [31]

Because I've gone ahead with trying to parameterize S directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.

Rather than compute the surface integral over S straight away, let's close off the hemisphere with the disk D of radius 9 centered at the origin and coincident with the plane y=0. Then by the divergence theorem, since the region S\cup D is closed, we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

where R is the interior of S\cup D. \vec F has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(xz)}{\partial x}+\dfrac{\partial(x)}{\partial y}+\dfrac{\partial(y)}{\partial z}=z

so the flux over the closed region is

\displaystyle\iiint_Rz\,\mathrm dV=\int_0^\pi\int_0^\pi\int_0^9\rho^3\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=0

The total flux over the closed surface is equal to the flux over its component surfaces, so we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iint_S\vec F\cdot\mathrm d\vec S+\iint_D\vec F\cdot\mathrm d\vec S=0

\implies\boxed{\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=-\iint_D\vec F\cdot\mathrm d\vec S}

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec k

with 0\le u\le9 and 0\le v\le2\pi. Take the normal vector to D to be

\vec s_u\times\vec s_v=-u\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^9(u^2\cos v\sin v\,\vec\imath+u\cos v\,\vec\jmath)\cdot(-u\,\vec\jmath)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^9u^2\cos v\,\mathrm du\,\mathrm dv=0

\implies\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\boxed{0}

8 0
3 years ago
Aristotle was born in 384 BC. Ron Howard was born in 1952 AD. HOW many years apart were they born?
rodikova [14]
The answer is 2336 cause bc was before Christ ad us after death so if we add them that's the answer
6 0
3 years ago
SEE QUESTION IN IMAGE
Rudik [331]

Answer:

<h3>46.</h3>

<u>Total number in favour:</u>

  • 128 + 96 = 224

<u>Probability:</u>

  • P(favour, A) = 128/224 = 4/7
<h3>47.</h3>

<u>Total number in against:</u>

  • 32 + 48 = 80

<u>Probability:</u>

  • P(against, not B) = 32/80 = 2/5
3 0
3 years ago
Other questions:
  • the price of one share of ABC company decreased a total of $45 in 5 days what was the average change of the price of one share p
    13·1 answer
  • System of equations ( substitution methods) can someone solve these problems x=3y-5 ; x+y=3 y=x ; 3x+3y=18 y=3x+4 ; 5x-y=0
    10·1 answer
  • All of the following are equivalent, except _____.
    9·2 answers
  • how many degrees are there in the angle made by the heart hand and the minute hand of a clock when it is 9 o'clock​
    13·1 answer
  • on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all
    12·1 answer
  • 7 1/5 improper fraction
    7·2 answers
  • I have to repost this because I was giving wrong answers. The instructions are to complete each proof using the properties of eq
    14·1 answer
  • Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89
    10·1 answer
  • What is the equation of the graph below? On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a
    10·1 answer
  • At an elevation of 1221.4 feet, Lake Mead will hold 28,945,000 acre-feet of water. Which number is the best estimate of this amo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!