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anastassius [24]
3 years ago
8

write an equation in slope intercept form of the line passes through the given point and is parallel to the graph of the given e

quation (0,0); y=3/8 x+2
Mathematics
1 answer:
madam [21]3 years ago
8 0
Y = mx + b

In order for it to be parallel then m has to be the same so y = 3/8x

If the line passes through (0,0) then that means there is no b

So the answer is y = 3/8x
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weeeeeb [17]

Answer:

Step 1: 0.246 = 246⁄1000

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6 0
3 years ago
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Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
The length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle ca
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Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W.  This reduces to

24 = L + W.  Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a)  If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b)  If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c)  If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

4 0
3 years ago
A bicyclist travels at a constant speed of 18 mi/h. How long does it take the bicyclist to travel 90 mi
Stells [14]
If the bicyclists is traveling 18 miles every hour and needs to travel a sum of 90 miles, you need to divide 90/18 equaling the total time (in hours) needed to travel 90 miles. Hope this helps
6 0
3 years ago
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OLga [1]

Answer:

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Step-by-step explanation:

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The vector joining the ship to the rock is:

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t = 7 i + 5 j

The bearing of the rock to the ship is:

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4 0
3 years ago
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