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vovikov84 [41]
3 years ago
15

Solve using the box method

Mathematics
1 answer:
Lena [83]3 years ago
3 0

\huge\text{Hey there!}

\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}

\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}

\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}

\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}

\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}

\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}

\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}

\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE  ANSWER}

\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}

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Linda purchased a used vehicle that depreciates under a straight line method. The initial value of the car is $7000, and the sal
makvit [3.9K]

Answer:

The value at the end of year 2 is $4400.

Step-by-step explanation:

The best approach here is to determine the expression for the line depreciation and then calculate the depreciation value at x = 2 years.

A line is given by

y = mx + b

where m is the slope and b the bias (aka y-intercept).  You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:

y = -\frac{6500}{5}x+7000

and gives you the value of the car in any given year. To answer the question, we now plug in 2 as value of x:

y=-\frac{6500}{5}\cdot 2 + 7000= 4400

3 0
3 years ago
Read 2 more answers
Need help with this. Hope someone can help
ratelena [41]

First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)

2000 cm = 20 m         800 cm = 8m    

<u>Total Perimeter </u>(Note that circumference of a semi-circle is 2 π r/2 = π r)

Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:

40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)

= 40 + 10π + 41 + (5) + 26 + 10π

= 112 + 20π

= 112 + 62.8

= 174.8

Answer: 174.8 m

<u>Total Area</u>

Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle).  Find the area for each of those sections and then add their areas together to find the total area.

2 semi-circles is 1 Circle: A = π · r²  ⇒ A = π(20/2)² =  π(10)²  = 100π  ≈  314

top rectangle: A = L x w  ⇒  A = 40 x 20  = 800

bottom left rectangle: A = L x w  ⇒  A = 25 x 8  = 200

bottom right rectangle: A = L x w  ⇒  A = 10 x 8  = 80

Total = 314 + 800 + 200 + 80  = 1394

Answer: 1394 m²


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Given: Point K is between H and J, HK = x - 5, KJ = 5x-12, and HJ = 25. Find the value of x
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(6.0x10^5)x(3.0x10^4)=? <br><br> 18x10^20 <br> 18x10^9 <br> 1.8x10^20 <br> 1.8x10^10
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(6.0 x 10^5) x (3.0 x 10^4) = (6 x 3) x 10^(5 + 4) = 18 x 10^9 = 1.8 x 10^10
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