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chubhunter [2.5K]
2 years ago
9

A car speeds up from 8.50 m/s to

Mathematics
1 answer:
Ann [662]2 years ago
4 0
First we need to subtract 8.50 from 22.2 we get 13.7. Then once we divide 13.7 by 3.84 we get 3.57. Which should be the answer.
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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
Someone please help me PLEASE. <br> With explanations.
Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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2 years ago
The map shows a typical flight path between Seattle and London. Why does the path go over the Arctic? A) It is the shortest path
Triss [41]
The answer to the given question above would be option A. Based on the given map shown above which is a typical flight path between Seattle and London, the reason why the path goes over the Arctic is that, it is the shortest path. Hope this answers your question.
4 0
3 years ago
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What is the area of the figure? Round to the nearest tenth.
diamong [38]

Answer:

14.0 cm its a

Step-by-step explanation:

5 0
3 years ago
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What is 50 x 79 x 27 + 69
vova2212 [387]

106,719

Answer:

50  \times  79  \times  27 + 69 \\  \\  = 106,650 + 69 \\  \\  = 106,719

8 0
2 years ago
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