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A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

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# Tag: squared

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Simplify completely quantity x squared minus 4 x plus 4 over quantity x squared plus 10 x plus 25 times quantity x plus 5 over quantity x squared p .

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where

(h,k) are the coordinates of the vertex

a is the distance of the vertex to the focus

4a = length of lactus rectum or the focal width

If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).

The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:

x^2 = -12y

Therefore,

-4a = -12

4a = 12

a = 3, and the parabola is facing downwards.

The vertex is (0,0) at the origin.

The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.

The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3

Focal width is 4a which is equal to 12 units.

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Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6

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The following equation of parabola is given:

p(x)= – 5 x^2 + 240 x – 2475

where p(x) = y

This is a standard form of the parabola. We need to

convert this into vertex form of equation. The equation must be in the form:

y – k = a (x – h)^2

Where h and k are the vertex of the parabola. Therefore,

y = – 5 x^2 + 240 x – 2475

y = -5 (x^2 – 48 x + 495)

Completing the square:

y = -5 (x^2 – 48 x + 495 + _) – (-5)* _

Where the value in the blank _ is = -b/2

Since b = -48 therefore,

y = -5 (x^2 – 48 x + 495 + 81) + 405

y – 405 = -5 (x^2 – 48 x + 576)

y – 405 = -5 (x – 24)^2

Therefore the vertex is at points (24, 405).

**The company should make 24 tables per day to attain maximum
profit.**

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable. 12 over quantity x minus 7, x ≠ 7 12 over quantity x minus 7, x ≠ 7, x ≠ −3 quantity x plus 3 over quantity x minus 7, x ≠ 7 quantity x plus 3 over quantity x minus 7, x ≠ 7, x ≠ −3

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**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y = 2 no horizontal asymptote

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What is the graph of the function f(x) = the quantity of x squared plus 5x plus 6, all over x plus 3?

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Is 35 squared rational or irrational and why ?

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If x = 4 calculate the value of x squared 2x

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Factorise (x squared – y squared)Q)16

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**Answer: **Hello there!

we have the equation y = 1.09x, that describes the number of yards y in x meters.

a) Yes, if you have negative numbers of x (this means negative meters, this is used usually to denothe something that is behind the observer) then the equation transform them into negative yards.

b) in this case you want to know how many meters are in 40yd, then we replace y by 40yd in the equation:

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

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The area of a rectangle is 500 in squared. The ratio of the length to the width is 5 : 4. Find the length and the width

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Technically in your initial problem “squaring” is the wrong term. Squaring is when you take a number such as 10 and bring it to the 2nd power.

That would be 10^2 which is 10*10 which is 100.

As for the correct term. You could say the phrase, “10 brought to the power of 68.”

10^68

1. 10 * 10 = 100

2. 100 * 10 = 1,000

3. 1000 * 10 = 10,000

4. 10,000 * 10 = 100,000

5. 100,000 * 10 = 1,000,000

6. 1,000,000 * 10 = 10,000,000

7. 10,000,000 * 10 = 100,000,000

8. 100,000,000 * 10 = 1,000,000,000

9. 1,000,000,000 * 10 = 10,000,000,000

10. 10,000,000,000 * 10 = 100,000,000,000

And it keeps going higher and higher gaining a 0 each time.

So what we can do to speed up the process is:

Our original number:

10 can be written as:

1.0×10

When you add a zero each time the power of 10 will go up by 1. Currently it is at a power of 1. So if you wanted to get to 68 you’d need this:

1.0×10^68

Which would be this: **100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000**

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**Answer:**

The piece-wise function for the cost per unit for production of units in the Wichita factory is:

C(x)= 1 when 0≤x≤25000

and 0.8 when 25000<x≤35000

**Step-by-step explanation:**

The graph of C(x) is a straight horizontal line taking the constant value 1 in the interval [0,25000]

and a straight horizontal line taking the constant value 0.8 in the interval (25000,35000]

Hence, the piece-wise function C(x) is defined by:

C(x)= 1 when 0≤x≤25000

and 0.8 when 25000<x≤35000

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