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Lostsunrise [7]
4 years ago
11

Find the roots of 2x2-5x+9=0

Mathematics
1 answer:
andrew11 [14]4 years ago
6 0

Step-by-step explanation:

2×2-5x+9=0

4+9-5x=0

13-5x=0

√(13-5x)^2 =0

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$16.80 is how much more Zuri needs to purchase another video game.

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The length of each side of an equilateral triangle is 74mm, correct to the nearest millimeter. Calculate the smallest possible p
Olin [163]

Answer:

  221 mm

Step-by-step explanation:

The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...

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The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.

8 0
3 years ago
Which system or equation is represented in the graph?
melamori03 [73]

Answer:

(A)\displaystyle  \begin{array}  {ccc}  \displaystyle y =  - 2 \\ x - 2y = 6\\  \end{array}

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

\displaystyle \large y =  - 2

<h3>Equation of the red line:</h3>

remember The form of equation of a line

\displaystyle \boxed{ \displaystyle  y = mx + b}

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

\displaystyle m =  \frac{ \Delta y}{ \Delta x}

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

\displaystyle m =  \frac{ 1}{ 2}

so we have figured out m and b

therefore our equation of blue line is

\displaystyle y =  \frac{1}{2} x - 3

our given options are in standard form so

move -3 to left hand side and change its sign:

\displaystyle y  + 3=  \frac{1}{2} x

cross multiplication:

\displaystyle 2y  + 6=  x

move 6 to right hand side and x to left hand side and change its sign

\displaystyle - x +  2y   =  -  6

multiply both sides by -1:

\displaystyle x  -   2y   =   6

hence, our system of linear equation is

\displaystyle \begin{cases}   \displaystyle y =  - 2 \\ x - 2y = 6\\ \end{cases}

3 0
3 years ago
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Ne4ueva [31]
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5 0
3 years ago
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The area of a rectangle is 99in. The length of the rectangle is 2 in. Longer than the width. What is the width of the rectangle?
never [62]

(2+w)w=99

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