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Ray Of Light [21]
3 years ago
12

Ellen is playing a video game in which she captures butterflies there are three butterflies on screen but the number of butterfl

ies doubles every minute after four minutes she was able to capture seven of the Butterflies
Mathematics
1 answer:
Mice21 [21]3 years ago
8 0
She caught 7/32 butterfies
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(x^6z^9)(4xyz^9)(-5x^8y^6)
Mariana [72]
We can re arrange this:
(-5)*(4) * x^6 * x * x^8 * y * y^6 * z^9 * z^9

using exponent properties
we can get
-20 x^15 y^7 z^18
as our simplified answer.
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3 years ago
Which line is perpendicular to a line that has a slope of 1/2?​
Murrr4er [49]

Answer:

line HJ, because line with slope 1/2 is AB=2/4=1/2.

AB is perpendicular to HJ, because it forms right angle

8 0
3 years ago
Which are perfect squares? Check all that apply. 49 17 g 143 225
Vika [28.1K]
<span>49 17 g 143 225
</span><span>
you have  g in here 
is g is 9?

perfect squares
49 = 7^2
225 = 15^2</span>
5 0
3 years ago
Read 2 more answers
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
2 years ago
Read 2 more answers
(1 point)
Rashid [163]
The third one is the answer for this question
3 0
2 years ago
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