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OverLord2011 [107]
2 years ago
12

If a+b=8 and b-a= -5 then a^2 - b^2=

Mathematics
1 answer:
iren2701 [21]2 years ago
5 0

Answer:

sorry if i am wrong but i think it is 40

Step-by-step explanation:

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What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
What is 82.68 divide by 1,000<br>​
serg [7]

Answer:

0.08268 is what I got

Step-by-step explanation:

I hope it correct

8 0
3 years ago
Read 2 more answers
Choose all answers that are correct.
worty [1.4K]
17.601 = <span>1 × 10 + 7 × 1 + 6 × 1/10 + 0 × 1/100 + 1 × 1/1000
or
</span>17.601 = 1 × 10 + 7 × 1 + 6 × 0.1 + 0 × 0.01<span> + 1 × 0.001

these are the answers

You didn't write the complete answer on those options</span>
7 0
3 years ago
Solve the equation. Show your work. 3x – 10 = 5x + 32
liq [111]

Answer:

-21 =x

Step-by-step explanation:

3x – 10 = 5x + 32

Subtract 3x from each side

3x-3x – 10 = 5x-3x + 32

-10 =2x +32

Subtract 32 from each side

-10 -32 = 2x+32-32

-42 = 2x

Divide each side by 2

-42/2 = 2x/2

-21 =x

4 0
3 years ago
Read 2 more answers
Use the distributive property to solve : 20 (30 - 15) =
astraxan [27]

Answer:

the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.

Step-by-step explanation:

20(30-15)

20×30= 600, and 20×15=300

finally you just use the new numbers and solve the solution which is 600-300. The answer is 300

4 0
3 years ago
Read 2 more answers
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