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aleksandrvk [35]
3 years ago
11

Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)

Mathematics
2 answers:
GenaCL600 [577]3 years ago
5 0
The answer is D 45.
Using the distance formula and the ordered pairs (1,8) & (4,5) for the short side and ((4,5) & (17,18) for the long side.
sqrt [(x2-x2)^2 + (y2-y1)^2]
sqrt [(4-1)^2 + (5-8)^2] = sqrt [ 9 + 9 ] = sqrt (18) (short side)
sqrt [(17-4)^2 + (18-5)^1 = sqrt [169 + 169] = sqrt (338) long side
P = 2L + 2W
P = 2sqrt18 + 2sqrt 338 = 45.25 = 45


Nuetrik [128]3 years ago
4 0
You have to take the sum of the distance between each point. It doesn't matter what order you use just keep it consistent, the shortest distance between any 2 points in the plane is a straight line.
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Write ordered pairs of integers that satisfy the criteria in each part below. Remember that the origin is the point whose coordi
enot [183]

Answer:

a. These points’ vertical distance from the origin is twice their horizontal distance.

both coordinates positive A(2,4)

both coordinates negative B (-2,-4)

opposite signs case 1:  C (2,-4)

opposite signs case 2: D (-2,4)

b. These points’ horizontal distance from the origin is two units more than the vertical distance

both coordinates positive A(4,2)

both coordinates negative B (-4,-2)

opposite signs case 1:  C (4,-2)

opposite signs case 2: D (-4,2)

c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.

Case 1 x coordinate negative

A (-5,5)

Case 2 y coordinate negative

B (3,-3)

Step-by-step explanation:

5 0
3 years ago
What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?
ira [324]

Answer:

5

Step-by-step explanation:

The complex number 4 + 2i on the complex plane has coordinates (4,2) and the complex number 7 - 2i has coordinates (7,-2). Thus, the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is

\sqrt{(4-7)^2+(2-(-2))^2}=\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5.

6 0
3 years ago
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At a particular food processing factory, a machine is supposed to package mixed nuts such that each package contains 50% peanuts
Tamiku [17]

Answer: It is the proper ratio.

Step-by-step explanation: All of the numbers added together would make the 500 mixed nuts that it mentioned which would be 100%

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6 0
3 years ago
I need help on this aswell
Katena32 [7]

Answer:

Graph C

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.

y = 2x + 4

Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.

y = -3x - 2

Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.

To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.

The only graph that does this is graph C.

I hope this helps!

8 0
2 years ago
What is the value of u and v?
Novay_Z [31]

Answer and Explanation:

Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:

u = v = 164√2 / √2 = 164

so:

u = 164

v = 164

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2 years ago
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