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bazaltina [42]
3 years ago
7

Divide the complex numbers. 3+9i/8+i

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

Answer:

33/65 + 69/65i

Step-by-step explanation:

inessss [21]3 years ago
7 0

Answer: The answer is 3+17 i/8

Step-by-step explanation:

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The region r is enclosed by the curves y=4-4x2 and y=0
Misha Larkins [42]

The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0

The intersection points will be

       y₁ = y₂

4 - 4x² = 0

        x = ±1

Then the area bounded by the curves will be

\rm Area = \int _{-1}^1 (y_1-  y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x  - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

6 0
2 years ago
Find the inverse of f(x)
FinnZ [79.3K]

Answer:

\huge\boxed{A.\  f^{-1}(x)=\dfrac{x-3}{5}}

Step-by-step explanation:

f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}

3 0
3 years ago
The sum of a number y and -3 is -8 .
Allushta [10]

Answer:

-5 IDS THE AANSERRRRR thanks

Step-by-step explanation:

3 0
3 years ago
Hey I know this is kind of a lot but can someone pls help.
Debora [2.8K]

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

7 0
3 years ago
(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?​
inna [77]
30,000$ is how much
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