Pls answer as many as u can. pls help me.

7. What is the solution to x2 + 10x + 27 = 0 when written in the form a ± bi? (1 point)

son4ous [18]

Answer:

The correct answer is D. -5 +/- i√2

Step-by-step explanation:

Let's solve for x, the equation given to us, this way, using the quadratic formula:

x = (- b +/- √b² - 4ac)/2a

Replacing with the real values, we have:

x = (-10 +/- √10² - 4 * 1 * 27)/2

x = (-10 +/- √100 -108)/2

x = (-10 +/- √-8)/2

x = (-10 +/- √-1 * 4 * 2)/2 Let's recall that √-1 = i

x = (-10 +/- 2i√2)/2

x = 2 (-5 +/- i√2)/2 (Dividing by 2 both the numerator and the denominator)

x₁ = -5 + i√2

x₂ = -5 - i√2

The correct answer is D. -5 +/- i√2

7 0

4 years ago

Read 2 more answers

A study at a major university concluded that many students are cheating.

marshall27 [118]

The answer is a) 1500 because when you divide 675 (the given number of students that cheated on 1 to 7 courses) by 1500 you get .45 or 45%.

7 0

3 years ago

When Luis begins painting, he realizes it takes him 45 seconds to complete 1 square foot. The room he is painting has 272 square

zepelin [54]

It will take Luis 12240 seconds to complete the project.

12240 seconds are 204 minutes when converted.

Step-by-step explanation:

Given,

Time taken to paint 1 square foot = 45 seconds

Time taken for 272 square feet = 45*272

Time taken for 272 square feet = 12240 seconds

We know that;

60 seconds = 1 minute

Therefore;

We will divide the total seconds by 60 to convert them into minutes.

12240 seconds = $\frac{12240}{60} = 204\ minutes$

It will take Luis 12240 seconds to complete the project.

12240 seconds are 204 minutes when converted.

Keywords: conversion, multiplication

Learn more about multiplication at:

#LearnwithBrainly

6 0

3 years ago

Please i really need help

Ber [7]

76 and72 north 72 and south 76 thanks and you welcome

5 0

3 years ago

What is the volume of the cone? Cone V = 1/3 Bh V = 1/3 πr2h V = 1/3 π32(8) V = 1 3 π(9)(8) V = 1/3 π(72) The cone has a volume

Amanda [17]

The volume of cone is 24 $\pi$ or 75.398 cubic centimeters, if the cone has a radius of 3 centimeters and height of 8 centimeters.

Step-by-step explanation:

The given is,

Formula for volume of cone, $V = \frac{1}{3} Bh$

Where, B = $\pi r^{2}$

Volume, $V= \frac{1}{3} \pi r ^{2} h$

From the given,

Radius, r = 3 centimeters

Height, h = 8 centimeters

volume, $V= \frac{1}{3} \pi (3 ^{2})( 8)$

$= \frac{1}{3} \pi (9)( 8)$

$= \frac{1}{3} \pi (72)$

$= 24\pi$

Volume of cone, V= 24 $\pi$ (volume in terms of $\pi$ )

( or )

Volume, V = (24 × 3.14 ) ( ∵ $\pi$ =3.14 )

V = 75.398 cubic inches

Result:

The volume of cone is 24 $\pi$ or 75.398 cubic centimeters, if the cone has a radius of 3 centimeters and height of 8 centimeters.

3 0

4 years ago

Read 2 more answers

Pls answer as many as u can. pls help me.​

Pls answer as many as u can. pls help me.