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Black_prince [1.1K]
3 years ago
8

What is the point in the middle of a circle called?

Mathematics
2 answers:
irinina [24]3 years ago
8 0

The answer to this question is B. The center! [apex]

Rus_ich [418]3 years ago
3 0
The answer is b. Center
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What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)?
777dan777 [17]
First find the slope of this new line; it's the same as the slope of the "given line," which you unfortunately have not yet given.  Let's call that slope "m."

Then, the equation in point-slope form of the new line is

y - (-1) = m(x - [-1]), or    y+1 = m(x+1)

Please go back to the original question, obtain the slope of the "given line," and substitute that value for m in y+1 = m(x+1).
4 0
3 years ago
If a car travels 172 miles in 4 hours how long will it take to travel 387 miles
Contact [7]
172/387 = 4/t

Let t = time to travel 387 miles

172t = 4(387)

172t = 1548

t = 1548/172

t = 9

Answer: 9 hours
4 0
3 years ago
What is (1-i)^3 <br> Please explain how you got that
My name is Ann [436]

\bf (1-i)^3\implies ~\hfill \begin{array}{cccccccl} 1^3&+&3(1)^2(-i)^1&+&3(1)^1(i)^2&+&(-i)^3\\\\ 1&+&(-3i)&+&(3i^2)&+&(-i^3)\\\\ 1&-&3i&+&3i^2&-&i^3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{let's recall that}}{i^2=-1\qquad \qquad i^3=-i} \\\\[-0.35em] ~\dotfill\\\\ 1-3i+3(-1)-(-i)\implies 1-3i-3+i\implies -2-2i

6 0
3 years ago
I need help please!!
Aleksandr-060686 [28]

Answer:

1) Communism: government led by a single party often authoritarian.

2) Democracy: government that allows people to choose their leaders.

3) Socialism: government that owns goods and services. It encourages cooperation rather than competition.

4) Oligarchy: government of a few individuals usually wealthy, of certain race often authoritative rulers.

5) Monarchy: Government of one person that usually inherits it. Often inherited by gender. They can be constitutional with limited power or absolute, with unlimited power.

6) Theocracy: leader of a specific religion.

7) Totalitarianism: Government of one person without limitations of power.

8) Military Dictatorship: countries ruled by one person with absolute power.

Step-by-step explanation:

3 0
3 years ago
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
monitta

Answer:

\displaystyle y = \frac{t^2}{16} + 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Functions
  • Function Notation
  • Coordinates (x, y)

<u>Calculus</u>

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:                                                             \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (0, 18)

\displaystyle \frac{dy}{dt} = \frac{1}{8} t

<u>Step 2: Find General Solution</u>

<em>Use integration</em>

  1. [Derivative] Rewrite:                                                                                         \displaystyle dy = \frac{1}{8} t\ dt
  2. [Equality Property] Integrate both sides:                                                        \displaystyle \int dy = \int {\frac{1}{8} t} \, dt
  3. [Left Integral] Integrate [Integration Rule - Reverse Power Rule]:                 \displaystyle y = \int {\frac{1}{8} t} \, dt
  4. [Right Integral] Rewrite [Integration Property - Multiplied Constant]:           \displaystyle y = \frac{1}{8}\int {t} \, dt
  5. [Right Integral] Integrate [Integration Rule - Reverse Power Rule]:              \displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C
  6. Multiply:                                                                                                             \displaystyle y = \frac{t^2}{16} + C

<u>Step 3: Find Particular Solution</u>

  1. Substitute in point [Function]:                                                                         \displaystyle 18 = \frac{0^2}{16} + C
  2. Simplify:                                                                                                             \displaystyle 18 = 0 + C
  3. Add:                                                                                                                   \displaystyle 18 = C
  4. Rewrite:                                                                                                             \displaystyle C = 18
  5. Substitute in <em>C</em> [Function]:                                                                                \displaystyle y = \frac{t^2}{16} + 18

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0
2 years ago
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