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SVETLANKA909090 [29]
3 years ago
11

Please help! I will mark you as brainliest!

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Answer:

105.6 cm²

Step-by-step explanation:

Area of full circle = π × r²

Semicircle = Half it

3.142 × 8.2² = 211.26808 ( Full circle)

211.26808 ÷ 2 = 105.63404

105.6 cm²

aliya0001 [1]3 years ago
6 0

Answer:

105.6 cm²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ), thus the area of a semicircle is half the area of the circle, that is

A = \frac{1}{2}πr² ( with r = 8.2 )

A = 0.5 × 3.142 × 8.2²

   = 0.5 × 3.142 × 67.24 ≈ 105.6 cm² ( to 1 dec. place )

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Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

12 - 9 = 3

5i + 2i = 7i

// together, we get

3 + 7i

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3 years ago
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What is the equation of the quadratic function that has vertex (-3, 1) and passes through the point (-2, 4)?
Marat540 [252]
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For this, we will be using vertex form. Firstly, plug the vertex into the vertex form equation:

y=a(x-(-3))^2+1\\y=a(x+3)^2+1

Next, we need to solve for a. Plug in (-2,4) into the x and y coordinates to solve for a as such:

4=a(-2+3)^2+1\\4=a(1)^2+1\\4=a+1\\3=a

Putting our equation together,<u> it's y=3(x+3)^2+1</u>

<u>*Additional section*</u>

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Converting to standard form as such:

y=3(x+3)^2+1\\y=3(x^2+6x+9)+1\\y=3x^2+18x+27+1\\y=3x^2+18x+28

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Step-by-step explanation:

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zheka24 [161]

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Answer:

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Since, blue line is passing through two points (-4, -2) and (0, 4),

Slope of the blue line = \frac{4+2}{0+4}

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