Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work.

Answers

Answer 1
Answer: x^(2) -8x=9 \n x^(2) -8x+(-4)^(2) = 9 + (-4)^(2) \n x^(2) -8x+16 = 9 + 16 \n (x-4)^(2) =25 \n x-4= √(25) \n x-4= \pm 5 \n x= \pm 5+4
x = 5 + 4 or -5 + 4
x = 9 or -1
 

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PLEASE HELPPPP!!!!!! Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answers

Answer:

The answer is the attached figure

Step-by-step explanation:

* Lets explain mutually exclusive and non-mutually exclusive

- The mutually exclusive means events cannot happen  at the

 same time

# P(A or B) = P(A) + P(B)

- The non-mutually exclusive means they  have at least one

 outcome in common

# P(A or B) = P(A) + P(B) - P(A and B)

* Lets solve the problem

∵ Events A and B are mutually exclusive

∵ Circle A represents the event A

∵ Circle B represents the event B

∴ There is no intersection between the two circles A and B

∵ Events B and C are non-mutually exclusive

∵ Circle C represents the event C

∴ There is an intersection between the two circles B and C

* The answer is the attached figure

Answer: D. image 4.

Just did assignment.

What is the slope of the line represented by the equation y=4/5x-3

Answers

The slope of the line represented by this equation is 4/5.


We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).


Hope this helps!

73% of what is 156.4 ?

Answers

(73)/(100) =0.73

0.73*x=156.4

x= (156.4)/(0.73)

x=214.3

73% of 214.3 is 156.4

The required percentages obtained by calculations is 73. In other words, 73% of approximately 214.7945 is equal to 156.4.

To find 73% of a certain value, we can set up an equation and solve for that value. Let's denote the unknown value as "x".

The equation would be:

0.73 * x = 156.4

To isolate x, we divide both sides of the equation by 0.73:

x = 156.4 / 0.73

Evaluating this expression:

x ≈ 214.7945

Therefore, the required percentages obtained by calculations is 73. In other words, 73% of approximately 214.7945 is equal to 156.4.

Learn more about percentages and calculations here:

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if 8 is added to twice a number and this sum is multiplied by 3ˏ the result is the number multiplied by 3 and 9 is added to the product.Whats the number?

Answers

n-a\ number\n\n(8+2n)\cdot3=3n+9\n\n8\cdot3+2n\cdot3=3n+9\n\n24+6n=3n+9\ \ \ \ /-24\n\n24-24+6n=3n+9-24\n\n6n=3n-15\ \ \ \ /-3n\n\n6n-3n=3n-3n-15\n\n3n=-15\ \ \ \ /:3\n\n3n:3=-15:3\n\nn=-5

What is the sum of a number and its opposite? use a model to your explanation

Answers

The sum of a number an its opposite would be zero. That is because an opposite of a positive integer would be a negative. 

Example:-

3 >>> its opposite is -3

3 + -3 = 0

Answer: The answer is zero/0 That is because an opposite of a positive integer would be a negative.  

An example is-

3 >>> its opposite is -3,

3 + -3 = 0

You run 4 3/4 miles through a park each day. If you ran that distance 5 times last week, how many miles did you run?

Answers

it;s simple you just take 4 3/4 and multiply it by 5
which is 23 3/4 or 23.75
23 3/4 because 4.75 ( 4 3/4) * 5 (#days) = 23.75 or 23 3 /4