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levacccp [35]
3 years ago
9

Solve the problem as directed. If x and y vary directly, and x = 10 when y = 3, what will be the value of x when y = 9?

Mathematics
2 answers:
Schach [20]3 years ago
8 0
A simple ratio will probably work. 10=3
x=9?
Cross multiply. 3x= 90 This x=30
Vladimir [108]3 years ago
6 0
X will equal 30. If y equals 9, then that means it was multiplied 3 times, so you do the same with x. 10*3=30.
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Step-by-step explanation:

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Which graph represents the solution to the system of equations below?
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the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in
kondor19780726 [428]
<h2>Answer:</h2>

\boxed{W=2ft}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle.  Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

From the statement of the problem we know:

V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2

So:

24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4

Since we can't have negative distance, the only valid option is \boxed{W=2ft}

3 0
3 years ago
What are the coordinates of a point in quadrant ||| which is 8 units away from point P please answer quick !!
maks197457 [2]

Answer:

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Step-by-step explanation:

Hope this helps you! 'v'

4 0
3 years ago
X² - 6x + y² + 2y = -1<br> find center &amp; Radius
Fofino [41]

Answer:

The answer to your question is Center = (3 , -1), radius = 3

Step-by-step explanation:

Equation

                       x² - 6x + y² + 2y = -1

-Process

1.- Leave a space between the like terms

                     x² - 6x           + y² + 2y          = -1

2.- Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.

                     x² - 6x + (3)² + y² + 2y + (1)² = -1 + 3² + 1²

3.- Simplification

                     x² - 6x + 9 + y² + 2y + 1 = -1 + 9 + 1

4.- Factor

                     (x - 3)² + (y + 1)² = 9

5.- Find the center and the radius

     Center = (3 , -1)

     Radius = √9 = 3

                   

                     

8 0
3 years ago
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