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2 years ago

Find the center and radius of a circle with the given equation: x2 + (y − 1)2 = 1

Mathematics

1 answer:

beks73 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

compare with (x-h)²+(y-k)²=r²

(x-0)²+(y-1)²=1²

h=0,k=1,r=1

center is (0,1) and radius=1

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Y=2x-1<br><br> y=-3x+14<br><br> Solve for y

LUCKY_DIMON [66]

Y=2x-1
y=-3x+14

First you would substitue one of the y's for the other so
2x-1=-3x+14

no you would solve for x...
add one on both sides
2x=-3x+15

now add 3x to both sides which becomes
5x=15

divide 5 on both sides which gives you x=3

now to solve for y plug into any one of the equations(doesn't matter which one) from before 3 for x and solve
y=2(3)-1
y=6-1
y=5

And that is you answer y=5

3 0

2 years ago

∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{

photoshop1234 [79]

Substitute $u=x^2+4$ and $du=2x\,dx$ . Then the integral transforms to

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}$

Apply the power rule.

$\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C$

Now put the result back in terms of $x$ .

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}$

3 0

1 year ago

The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

2 years ago

What is the volume of the cylinder use pie = 3.14 and round to the nearest tenth if needed

shepuryov [24]

Volume of a cylinder = π · radius(r)² · height(h)

Since you didn't provide the radius or the height, I am unable to provide a solution to this problem but hopefully you can solve it on your own now that you have the formula.

7 0

2 years ago

Pls pls guys help help help

shusha [124]

Answer:

"her" is janaki's mother

Step-by-step explanation:

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2 years ago