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3 years ago

Find the distance between the two points (-4, -5) and (1, -2).

1 answer:

7 0

$using \: formula \\ \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ \sqrt{(1 - ( - 4)) {}^{2} + ( - 2 - ( - 5)) {}^{2} } \\ = \sqrt{34}$
answer is B.

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The answer and how to do this

Vilka [71]

Graphically I guess means graph it.

First graph goes to first problem. Second graph goes to second problem.

5 0

3 years ago

Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 =

marissa [1.9K]

In Cartesian coordinates, the region is given by $-3\le x\le3$ , $-\sqrt{9-x^2}\le y\le\sqrt{9-x^2}$ , and $-\sqrt{16-x^2-y^2}\le z\le\sqrt{16-x^2-y^2}$ . Converting to cylindrical coordinates, using

$\begin{cases}\mathbf x(r,\theta,\zeta)=r\cos\theta\\\mathbf y(r,\theta,\zeta)=r\sin\theta\\\mathbf z(r,\theta,\zeta)=\zeta\end{cases}$

we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

The volume is then

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{z=-\sqrt{16-r^2}}^{z=\sqrt{16-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\dfrac{4(64-7\sqrt7)\pi}3$

6 0

2 years ago

Please help, would be greatful :)

tankabanditka [31]

Answer:

x ≈ 25.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = x°

Opposite Leg = 10

Hypotenuse = 21

Step 2: Solve for x

Substitute [tangent]: tanx° = 10/21
Inverse trig: x° = tan⁻¹(10/21)
Evaluate: x = 25.4633°
Round: x ≈ 25.5°

8 0

2 years ago

The distance of one light-year is approximately 9,500,000,000,000 kilometers. What is this distance in scientific notation?

zhenek [66]

Answer:

9.5*10^12 km

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,

kicyunya [14]

Answer: 29 weeks

Step-by-step explanation:

From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:

= 24 × 3

= 72 cookies

The number of weeks that would take her to bake 2,088 cookies will be:

= 2088 / 72

= 29 weeks

5 0

2 years ago