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belka [17]
2 years ago
8

Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to pointsdistance. the calculation is: d

istance=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√distance=(x2−x1)2+(y2−y1)2 you may declare additional variables. ex: for points (1.0, 2.0) and (1.0, 5.0), pointsdistance is 3.0.
Mathematics
1 answer:
taurus [48]2 years ago
5 0
For this case what you should know is that the distance between two points can be thought of as a line. To find the length of this line, you can use the formula:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]
 Example,
 for points (1.0, 2.0) and (1.0, 5.0):
 d: √ [(1 - 1) ^ 2 + (5 - 2) ^ 2]
 d: 3.0
 Answer:
 the distance between point (x1, y1) and point (x2, y2) is:
 d: √ [(x2 - x1) ^ 2 + (y2 - y1) ^ 2]
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Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?
Sveta_85 [38]
^{(1)}\ \ 4x^5-12x^4+6x=5x^3-2x\ \ ^{(2)}\\\\  \left\{\begin{array}{ccc}y=4x^5-12x^4+6x\ \ \ ^{(1)}\\y=5x^3-2x\ \ \ ^{(2)}\end{array}\right


Answer: system nr 4.
7 0
2 years ago
Sharon was going through the financial records of her company. The profit earned by the company, p(t), over time t, in years, fo
FromTheMoon [43]
For this case what we must do is find a quadratic function that is already factored.
 This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
 In this case, the zeros of the function represent the time at which the company did not make any profit.
 We have the following equation:
 p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
 We observed that there was no gain in:
 t = 3
 t = 5
 The other roots are discarded because they are negative
 Answer:
 
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
5 0
2 years ago
This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0
2 years ago
When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?
stira [4]
Note that (5π)/6 radians = 150°. Therefore the given angle is in quadrant 2.

Refer to the figure shown below.

Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2,  sin θ' = 1/2,  tan θ' = √3.

Because we are in quadrant 2,
  sin θ' = π/6;
  sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.

 Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.

3 0
2 years ago
Read 2 more answers
a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
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