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3 years ago

Which choices name a chord of circle F?

1 answer:

7 0

It is ab
diameter is a chord that passes through the center then its known as " diameter"
a chord that start from one point of the circle to other point of circle

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2 years ago

Evaluate the following integral in cylindrical coordinates triple integral 1/(1+x^2+y^2) dzdxdy z=0..2 y=0..square root(1-x^2) x

sertanlavr [38]

In cylindrical coordinates, we take

$x=r\cos\theta$

$y=r\sin\theta$

$z=z$

so that $\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$ .

We have

$1+x^2+y^2=1+r^2$

and the integral is

$\displaystyle\int_0^2\int_0^\pi\int_0^1\frac r{1+r^2}\,\mathrm dr\,\mathrm d\theta\,\mathrm dz=\frac{\ln2}2\int_0^2\int_0^\pi\mathrm d\theta\,\mathrm dz=\boxed{\pi\ln2}$

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3 years ago

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

nignag [31]

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Define: 3x - 2y = 27
Add 2y on both sides: 3x = 2y + 27
Divide 3 on both sides: x = 2/3y + 9

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Substitute in x: y = 5(2/3y + 9) - 3
Distribute 5: y = 10/3y + 45 - 3
Combine like terms: y = 10/3y + 42
Subtract 10/3y on both sides: -7/3y = 42
Divide -7/3 on both sides: y = -18

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3 years ago