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raketka [301]
3 years ago
9

What is the perimeter of ADC? 9.5 cm 7.5 cm 2 8.5 cm 2 5.5 cm

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

This is an incomplete question, here is a complete question and image is attached below.

What is the perimeter of ADC?

9.5 cm, 7.5 cm, 8.5 cm, 5.5 cm

Answer : The perimeter of ADC is, 9.5 cm

Step-by-step explanation :

Perimeter : It is the distance around 2-dimensional shape.

As we know that ADC is a triangle.

Given:

Side AC = 3.5 cm

Side CD = 3 cm

Side AD = 3 cm

Perimeter of triangle ADC = Side AC + Side CD + Side AD

Perimeter of triangle ADC = 3.5 cm + 3 cm + 3 cm

Perimeter of triangle ADC = 9.5 cm

Therefore, the perimeter of ADC is, 9.5 cm

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Help evaluating the indefinite integral
Dafna11 [192]

Answer:

\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

General Formulas and Concepts:
<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle (cu)' = cu'

Derivative Property [Addition/Subtraction]:
\displaystyle (u + v)' = u' + v'
Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Integration

  • Integrals

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

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution/u-solve</em>.

  1. Set <em>u</em>:
    \displaystyle u = 4 - x^2
  2. [<em>u</em>] Differentiate [Derivative Rules and Properties]:
    \displaystyle du = -2x \ dx
  3. [<em>du</em>] Rewrite [U-Solve]:
    \displaystyle dx = \frac{-1}{2x} \ du

<u>Step 3: Integrate Pt. 2</u>

  1. [Integral] Apply U-Solve:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du
  2. [Integrand] Simplify:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du
  3. [Integral] Rewrite [Integration Property - Multiplied Constant]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du
  4. [Integral] Apply Integration Rule [Reverse Power Rule]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C
  5. [<em>u</em>] Back-substitute:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.

---

Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

---

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

Unit: Integration

5 0
2 years ago
How do I find this help please
KIM [24]
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3 years ago
Akikta bought 25 trees for $15.40 each. Chloe bought 35 trees for $14.30 each. What was the difference between the total amounts
cupoosta [38]

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Step-by-step explanation:

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3 years ago
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $3 for children. The total co
dmitriy555 [2]

Answer:

There are 6 adults. <em>My mistake! I had the wrong equation. 3 + 9a = 57.</em>

Step-by-step explanation:

  • <u>There is only 1 child in the group.</u>
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3 years ago
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Which expression is equivalent to (-1.3x-4.5) - (-2.1x+3.6)?
timurjin [86]

Equivalent expressions are expressions with the same value.

The equivalent expression of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Given that:

(-1.3x - 4.5)- (-2.1x + 3.6)

Open brackets

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x - 4.5+ 2.1x - 3.6

Collect like terms

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x + 2.1x - 4.5 - 3.6

(-1.3x - 4.5)- (-2.1x + 3.6) = 0.8x -8.1

Hence, the equivalent of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Read more about equivalent expressions at:

brainly.com/question/18257981

6 0
3 years ago
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