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3 years ago

Write the expression in simplest form. .

Mathematics

2 answers:

geniusboy [140]3 years ago

8 0

I apologise but, what expression?

lapo4ka [179]3 years ago

4 0

Answer:

what do i simplify?

Step-by-step explanation:

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Find the general form, Ax2+Ay2+Dx+Ey+F=0, by identifying the coefficients A,D,E,&F center:(0,1); r=1 (x-0)2+(y-1)2=1 x2+y2-2

siniylev [52]

Answer:

The value of A is 1, D is 0, E is -2 and F is 0.

Step-by-step explanation:

The given equation is

$Ax^2+Ay^2+Dx+Ey+F=0$ ...(1)

The standard form of the circle is

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius.

$(x-0)^2+(y-1)^2=1$

$x^2+y^2-2y+1-1=0$

$x^2+y^2-2y=0$

It can be written as

$x^2+y^2+0x-2y+0=0$ ....(2)

On comparing (1) and (2) we get.

$A=1$

$D=0$

$E=-2$

$F=0$

Therefore the value of A is 1, D is 0, E is -2 and F is 0.

6 0

4 years ago

Read 2 more answers

A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a

miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, $\frac{dr}{dt}=5\ cm/min$

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

$V=\frac{4}{3}\pi r^3$

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})$

Now, plug in 19 cm for 'r', 5 cm per minute for $\frac{dr}{dt}$ and solve for $\frac{dV}{dt}$ . This gives,

$\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min$

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0

4 years ago

If 246 is a multiple of a

garik1379 [7]

Answer:

FALSE

Step-by-step explanation:

246=2*3*41

If n=2 then 123=3*41 is not a multiple of n

FALSE

6 0

3 years ago

There are 6 large picture frames. Each picture frame contains 2 pictures. What number sentence can be used to find the total num

Stolb23 [73]

Answer:

the think the answer is b.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the qoutient of -48÷6?<br>A.42<br>B.8<br>C.-8<br>D.-42

maks197457 [2]

Answer:

C. -8

This is the correct answer. Hope this helps :)

4 0

3 years ago

Read 2 more answers