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Igoryamba
3 years ago
12

Consider the quadratic equation x2 − 6x = 16.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

Answer:

  1. C) (x − 3)2 = 25
  2. C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

___

2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

  4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

  4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

  4(x +5)² = 180 . . . . . . . . . . . written as a square

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Hitman42 [59]

Answer: m²-9mn+2n²

Step-by-step explanation: make use of BODMAS strategy. Let the unknown be x.

-7mn+2m²+3n²-x= m²+2mn+n². Since we are concerned about getting the unknown,let's try to collect the like terms.

-7mn+2m²+3n²-(m²+2mn+n²)= x

-7mn+2m²+3n²-m²-2mn-n²= x

-7mn-2mn+2m²-m²+3n²-n²=x

-9mn+m²+2mn= x

X= m²-9mn+2n²

6 0
3 years ago
Fred has 30 minutes to do a three-problem quiz. He spent 10 7/10 minutes on question a and 5 2/5 minutes on question b. How much
tatiyna

Answer:Fred has 13 9/10 minutes left for question C

Step-by-step explanation:

The total time that Fred has to do the three-problem quiz is 30 minutes.

He spent 10 7/10 minutes on question A. Converting 10 7/10 minutes to improper fraction, it becomes 107/10 minutes.

He spent 5 2/5 minutes on question B. Converting 5 2/5 minutes to improper fraction, it becomes 27/5 minutes.

Total time that Fred spent on question A and question B is

107/10 + 27/5 = (107 + 54)/10

= 161/10 minutes.

The amount of time that he has left for question C would be

30 - 161/10 = (300 - 161)/10 = 139/10

= 13 9/10 minutes

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3 years ago
A family buys 4 airline tickets online. The family buys travel insurance that costs ​$19 per ticket. The total cost is ​$752. Le
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(x•19)4=752

x would be multiplied by 19 then after it’s getting multiplied by 4.
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3 years ago
This is my math homework and its geometry please help.
aniked [119]

The area of the shape is 28 square meters

<h3>Area of composite shapes</h3>

The given shape is a composite shape that is made up of  a square and a rectangle.

The area of the shape is expressed as:

Area = area of square + area of rectangle

Substitute the given dimension

area of the shape = (2*2) + (6*4)

area of the shape = 4. + 24

area of the shape. = 28 square meters

Hence the area of the shape is 28 square meters

Learn more on area of rectangle here: brainly.com/question/2607596

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