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Musya8 [376]
3 years ago
6

How will you know the nature of the roots of the given quadratic equation?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

Answer:

The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary. ... If Δ≥0, the expression under the square root is non-negative and therefore roots are real.

Step-by-step explanation:

liraira [26]3 years ago
5 0

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

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Answer:

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The base of the triangle decreases by 30% and the height increases by 20%.
sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}

<u>Initial triangle:</u>

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The height is 5 cm

The area is

A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2

<u>New triangle:</u>

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The area is

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5 0
3 years ago
28. Express 22.7 : 45.4 as a single decimal
maria [59]

Answer:

0.5

Step-by-step explanation:

22.7: 45.4 = 22.7/45.4

                 = 227/454

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2 years ago
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UkoKoshka [18]
Looking at the data it looks like a line. So the answer will be in y+mx+b format.

Knowing it is a line eliminates answers b and c.
looking at options a is says it starts at about .1 when x is zero. We can see this looks pretty close as the left-most dot is below 1 already.

The slope on a is 1/2--> increasing 1 vertically for every 2 horizontally. The pattern mostly follows that rule.

Therefore a (y=1/2x+.1) would be the correct answer
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3 years ago
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