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zvonat [6]
3 years ago
11

Explain why a positive discriminant results in two real solutions.

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

Step-by-step explanation:

If the discriminant b^2 - 4ac > 0, then the two solutions are

\frac{-b +- \sqrt{b^2 - 4ac} }{2a}, and in both cases, the value on the square root is > 0, so the result will always be a real number.

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Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
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a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
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C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
5 0
3 years ago
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

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Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

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3 years ago
30 points Help ASAP How do division properties help you evaluate expressions? Drag a word or number to the box to correctly comp
yKpoI14uk [10]

Answer:

Numerator , 0

Anything divided by 0 is always 0

Brainliest Pls

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3 years ago
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