Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

1 answer:

7 0

Hello there!

The correct answers are -10, -12, -14, -16, -18, -20, -22, -24, -26, -28.

Hope This Helps You!
Good Luck :)

(P.S, sorry for the late answer, i got a little busy)

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Use the quadratic formula to solve x2+7x+3. Show all of your work. Then describe the solution.

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Answer:

Step-by-step explanation:

The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.

The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.

Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.

-7 ± √37

x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2

In words: This quadratic equation has two real, unequal solutions involving the radicand 37.

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Two complex numbers are represented by c + di and , where c, d, e, and f are positive real numbers. In what two quadrants may th

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Answer: In quadrant 1 or quadrant 2.

Step-by-step explanation:

We have the numbers:

x = c + di

y = e + fi

where c, d, e and f are real positive numbers.

the product of these numbers is:

x*y = (c + di)*(e + fi) = c*e + c*fi + d*ei ´+d*f*i^2

x*y = c*e - d*f + (c*f + d*e)i

where I used that i^2 = -1

knowing that c,f, d and e are positive numbers, then the imaginary part of the product must be always positive.

For the real part, we have c*e - d*f, that can be positive o negative depending on the values of c, e, d, and f.

So we have that the product must lie always in one of the upper two quadrants, quadrant 1 or quadrant 2 because the imaginary part is always positive and the real part can be positive or negative.

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Answer:

$r = 3.74cm$