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3 years ago

Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.

1 answer:

ozzi3 years ago

4 0

Work backward: Multiply out (x-8i) and (x+8i).

The product is x^2 - [64i^2], or x^2 - [-64], or x^2 + 64

This is equivalent to 1x^2 + 0x + 64, and so a=1, b=0 and c=64.

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What is the expression for "the difference between 5 times a number and twice that number"?

ycow [4]

Hey there :)

Before translating the sentence into mathematics, let r represent 'a number'

5 times a number = 5r
2 times that number = 2r

The difference between them = 5r - 2r

* Your equation
5r - 2r

* Solving the equation
= 5r - 2r
= 3r

3 0

4 years ago

PLEASE HELP FAST PLEASE AND THANK YOU HELP MY SISTER MEH

Gnoma [55]

The answers are B , D , and F

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3 years ago

Carolyn is building a pen for a dog. The PERIMETER of the pen is 52 ft. The material is sold by the yard. It is 10.99 dollars pe

Mazyrski [523]

We know that the fence is 52 feet long, but since it's sold in yards, we need to somehow convert feet to yards.
First, we need to find a little something called a conversion factor. Basically, we need to see what we can do to get from one foot to one yard.
Well, how many feet are there in a yard? 3. So now we know that one foot is 1/3 of a yard.

So to convert 52ft to yards, we need to divide by 3. What's 52 divided by 3?
17.33.
Now we just need to multiply that by 10.99 so that we can find out the cost.
We get 190.45. That's your answer!

It all cost $190.45

Don't forget to rate this answer the Brainliest!

8 0

3 years ago

(2n-9) -5 (-2.4n+4) ...

tatiyna

Answer:

-3< 2-x

Step-by-step explanation:

7 0

3 years ago

A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many

vodomira [7]

Answer:

The number of students who prefer chocolate milk is 780 .

Step-by-step explanation:

Given as :

The total number of students in the school = 1200

The percentage of students who prefer plain white milk = 35 %

Let the number of students who prefer chocolate milk = x

Now, ∵ The percentage of students who prefer plain white milk = 35 %

∴ The percentage of students who prefer chocolate milk = 100 % - 35 % = 65%

So , As The number of students who prefer chocolate milk = x

Or, 65 % of total number of students in school = x

So, x = $\frac{65}{100}$ × 1200

or, x = $\frac{65\times 1200 }{100}$

∴ x = 780

So, the number of students who prefer chocolate milk = x = 780

And students who prefer plain white milk = 1200 - x = 1200 - 780 = 420

Hence, The number of students who prefer chocolate milk is 780 . Answer

4 0

3 years ago

Find the values of​ a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.

Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.