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3 years ago

Complete the square: x2 - 6x + 9=-13+ blank

Mathematics

2 answers:

Doss [256]3 years ago

7 0

Answer:

Step-by-step explanation:

To complete the square, divide the coefficient of x by 2.

6 /2 = 3

Take square of 3 and add to both sides

3*3 = 9

x² - 6x + 9 = -13 + 9

x² - 6x + 9 = -4

(x - 3)² = -4

kvasek [131]3 years ago

5 0

Answer:

to complete the square, you add (b/2)^2 on both side. in this case, b is -6, half of -6 is -3, -3 squared is 9, so:

x^2-6x+9=-13+9

(x-3)^2=-4

This quadratic equation have unreal solutions

Step-by-step explanation:

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Read 2 more answers

Find the value of \mathrm{x}xin the following figure.

Hoochie [10]

Step-by-step explanation:

step 1. I guess we assumed the two lines across the transversal are parallel

step 2. 3x + 1 = 85 (definition of alternate exterior angles)

step 3. 3x = 84 (subtract 1 from each side)

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3 years ago

A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co

Stells [14]

Volume of a rectangular box = length x width x height

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x

where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = 4x^3 - 100x^2 + 600x
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0

x^2 - 50/3x + 50 = 0

Solving for x,
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3 years ago

I am one of the numbers represented on a number line when you divide the segment between -15 and 25 into 4 equal parts. I am pos

Aliun [14]

Answer:

2, 3, 5, 7, 11, 17, 19, 23

Step-by-step explanation:

The segment between - 15 and 25 has 40 numbers given by

25 - -15

= 25 + 15

= 40

Divided into 4 segments, each would contain 10 numbers such that the

1st segment is from -15 to -5 (which is -15 + 10)

2nd segment is from -5 to 5 (which is -5 + 10)

3rd segment is from 5 to 15 (which is 5 + 10)

4th segment is from 15 to 25 (which is 15 + 10)

Given that the unknown number is prime and positive this may be

2 or 3 or 5 from the 2nd segment

7 or 11 from the third segment

17 or 19 or 23 from the 4th segment

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2 years ago