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2 years ago

(2x-3)(x+2)-(3-2x)(3x-2)=0

Mathematics

2 answers:

garik1379 [7]2 years ago

7 0

(2x-3)(x+2)-(3-2x)(3x-2)=0

(2x²+4x-3x-6) - (9x-6-6x²+4x)=0

(2x²+4x-3x-6) + (6x²-4x-9x+6)=0

(2x²+x-6)+(6x²-13x+6)=0

8x²-12x=0

Step2247 [10]2 years ago

3 0

Answer:

the answer is X = 0.75

Step-by-step explanation:

you just need to simplify everything in the brackets and calculate

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The answer is 2.25 that makes profit

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2 years ago

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Westkost [7]

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2 years ago

Simplify (Are all division) 2+4i 3i 3+2i 4+i 2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

6 0

2 years ago

A line passes through the point (10,-1) and has a slope of -1/2

-BARSIC- [3]

with a point given and the slope , you can find the the line, of this form, THE EQUATION POINT SLOPE IS

Y-Y1= M(X-X1) , Y-(-1) = -1/2( X- 10), Y+1 = -1/2X+ 5, Y = -1/2 X +5 -1, Y = -1/2X+ 4

5 0

2 years ago

The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airp

Lana71 [14]

$\bf \cfrac{\stackrel{model}{length}}{\stackrel{actual}{length}}\qquad 1:83\qquad \cfrac{1}{83}\implies \cfrac{1}{83}=\cfrac{10.5}{x}\implies x=\cfrac{83\cdot 10.5}{1}
\\\\\\
x=871.5~inches
\\\\\\
\textit{there are 12 inches in 1 foot, thus }
\\\\\\
871.5~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies 72.625~ft 
\qquad \approx 73~ft$

6 0

2 years ago