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LUCKY_DIMON [66]
2 years ago
14

The area of a square is defined by, A(x) = x 2 - 6x + 9. What is the length of a side of the square?

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
8 0
A9x)  = x^2 - 6x + 9  = (x - 3)^2

length of a side = x - 3 
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Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship ​. NEED HELP PLEASE
gizmo_the_mogwai [7]

Answer:

y = \frac{4}{3} x + 17  

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}

Thus, the slope is \frac{4}{3}.

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

The m represents the slope of the equation, so substitute it for \frac{4}{3}. The b represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

y = \frac{4}{3} x + 17

7 0
2 years ago
Is d y / d x the exact same as f ' ( x ) ? If yes, which is more commonly used?
Murrr4er [49]
It's dependent on the context. A book may ask you to find the f'(x) of a function and you may have to use a u sub in your problem which requires you to find the dy/dx of what you substitute. So in this case both would be used.
7 0
2 years ago
Use the point-slope formula to write an equation of the line given the following information. Write the final answer in slope-
Ilya [14]

Answer:

y=-x-9

Step-by-step explanation:

3 0
1 year ago
Solve the equation. Graph the solution(s) if possible.<br><br> ∣x−3∣+4=9
Mazyrski [523]

Answer:

x=8

x=-2

Step-by-step explanation:

∣x−3∣+4=9

= ∣x−3∣=5

<u>Positive term: (x-3)</u>

  (x-3) = 5

Rearrange and Add up

  x = 8

<u>Negative term: -(x-3)</u>

Multiply

     -x+3 = 5  

Rearrange and Add up

     -x = 2  

Multiply both sides by (-1)

     x = -2

3 0
2 years ago
Use table of square to evaluate 6250²÷0.1750²
Hunter-Best [27]

Answer:

1275510204.08

Step-by-step explanation:

please first take square and then division

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