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3 years ago

Complete the square for the expression x^2-12x

Mathematics

1 answer:

zubka84 [21]3 years ago

6 0

Answer:

Step-by-step explanation:

x²-12x+(-12/2)²=x²-12x+36=(x-6)²

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The complex numbers corresponding to the endpoints of one diagonal of a square drawn on a complex plane are 1 + 2i and -2 – i.Wh

Musya8 [376]

On the complex plane, the number $a+bi$ is mapped onto the point with coordinates $(a,b)$ .

In other words, the x coordinate is the real part of the number, while the y coordinate is the complex part of the number.

Viceversa, if you start from a point $(x,y)$ , you can identify the number $x + iy$ .

So, the endpoints of the diagonal are the points $(1,2)$ and $(-2,-1)$ . These are points A and C in the attached figure.

This means that points B and D have coordinates

$B = (-2,2),\quad D = (1,-1)$

So, the correspondant complex numbers are

$B = (-2,2)\mapsto -2+2i,\quad D = (1,-1)\mapsto 1-i$

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3 years ago

Jude is placing boxes on a shelf that holds no more than 80 lb. He has x small boxes that weigh 5 lb each and y large boxes that

sweet [91]

5x + 12y < 80 and x ≥ 4 and y > 0

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3 years ago

What is 18/32 in simplest form

JulsSmile [24]

Answer:

Step-by-step explanation:

18/32 is the same as 9/16 or 0.5625

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3 years ago

What is the slop of y=1x+3

vaieri [72.5K]

Answer:

the slope is:1 the y-intercept is:3

Step-by-step explanation:

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2 years ago

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4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

topjm [15]

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

solving for x

3x +10 =9x -86

grouping like terms

3x - 9x =-86 -10

-6x=-96

dividing through by -6

 $\frac{ - 6x}{ - 6} = \frac{ - 96}{ - 6}$ 

 $x = \frac{96}{6}$ 

 $x = 16$ 

but EF=3x+10

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

6 0

3 years ago

Read 2 more answers