How do you solve x²-10x+9=0 by completing the square?

Answers

Answer 1
Answer: x^2-10x+9=0\n\n\underbrace{x^2-2x\cdot5+5^2}_((*))-5^2+9=0\n\n(x-5)^2-25+9=0\n\n(x-5)^2-16=0\ \ \ /+16\n\n(x-5)^2=16\iff x-5=-√(16)\ \vee\ x-5=√(16)\n\nx-5=-4\ \vee\ x-5=4\n\nx=-4+5\ \vee\ x=4+5\n\nx=1\ \vee\ x=9



(*)\ (a-b)^2=a^2-2ab+b^2
Answer 2
Answer: x^2-10x+9=0 \n \nx^2-2\cdot5x+5^2-5^2+9=0\n \n(x-5)^2-25+9=0\n \n(x-5)^2=16\n \nx-5=4\ \ \vee\ \ x-5=-4\n \nx=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=1

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1.
What is the value of p – (–3.5) when p = 8.2?

Answers

well set it up first. You get: 8.2-(-3.5) so what you do is that you first subtract 8.2-3.5=4.7. Then you want to find out weather it is negative or positive. First point out which one is bigger in this case 8.2 is bigger and a positive so your answer would be positive. Answer: +8.2 or 8.2

Solve the equation 10x+12y=1080

Answers

Answer:

To solve the equation 10x + 12y = 1080, we need to find the values of x and y that satisfy the equation. Here's how you can do it:

Step 1: We'll start by isolating one variable on one side of the equation. Let's isolate x by subtracting 12y from both sides of the equation:

10x + 12y - 12y = 1080 - 12y

This simplifies to:

10x = 1080 - 12y

Step 2: Now, we want to isolate x. To do this, we'll divide both sides of the equation by 10:

10x/10 = (1080 - 12y)/10

Simplifying further:

x = (1080 - 12y)/10

x = 108 - (12y/10)

x = 108 - (6y/5)

So, the value of x in terms of y is x = 108 - (6y/5).

To find the value of y, we can follow a similar process:

Step 1: Let's isolate y by subtracting 10x from both sides of the equation:

10x + 12y - 10x = 1080 - 10x

This simplifies to:

12y = 1080 - 10x

Step 2: Now, we want to isolate y. To do this, we'll divide both sides of the equation by 12:

12y/12 = (1080 - 10x)/12

Simplifying further:

y = (1080 - 10x)/12

y = 90 - (5x/6)

So, the value of y in terms of x is y = 90 - (5x/6).

You can substitute any value for x or y in these equations to find the corresponding value for the other variable. For example, if x = 5, you can substitute it into either equation to find the value of y.

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Can you tell me what 6+3.9 is

Answers

Answer:

9.9

Step-by-step explanation:

6 + 3.9 = 9.9


you add the two whole numbers together and get 9

then you need to add whatever is behind the decimal point which is 9

add them together and you get 9.9

Ratios that are equivalent to 25%

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percent means parts ot of 100
25%=25/100=1/4
ratio is 1:4 or 2:8 or 6:12

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Answers

Answer:

h = 34 *  \sin(27)  + 5 = 15.43 + 5 = 20.43

Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.-4m + 8n - 4p

4m + 8n + 4p

4m - 8n - 4p

4m + 8n - 4p

Answers

After grouping our like pairs we are left with this: 4m, 8n, -4p

The answer is D) 4m+8n-4p