All categories

3 years ago

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Mathematics

1 answer:

rusak2 [61]3 years ago

3 0

Answer:

Two complex roots

Step-by-step explanation:

Discriminant negative means no real roots.

So roots are complex.

For every polynomial, complex roots occur in conjugate pairs

You might be interested in

A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th

masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

3 0

2 years ago

The percent frequency for S&P 100 companies in the Consumer Staples sector is

torisob [31]

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

<h3>How to determine the percentage frequency?</h3>

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Read more about pie charts at:

brainly.com/question/24461724

#SPJ1

8 0

2 years ago

D = 7 mm<br> Calculate the radius of the circle.

Vikentia [17]

Answer:

r= d/2

7/2

3.5

3.5 is the answer

Step-by-step explanation:

5 0

3 years ago

What is the slope of a line that passes through the points (-3, 2) and (-6, 5)

oksano4ka [1.4K]

Answer:

3/2

Step-by-step explanation:

Y2-Y1

_____

X2-X1

= 5-2

____

-6-(-3)

=3/2

3 0

3 years ago

Read 2 more answers

Explain how you know 21 over 30 is greater than 2 over 3

Lisa [10]

<span>So we need to explain how we know 21/30 is greater than 2/3. Well lets expand 2/3 by multiplying the numerator and the denumerator by 10. That way we get 20 / 30. Since 21/30 has 1/30 more than 20/30 we can clearly see that 21/30 is greater than 20/30 or 2/3.</span>

4 0

3 years ago