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Tamiku [17]
2 years ago
15

Andy has the following series of displacements: 3 m to the right; 4 m to the left; 5 m to the right; and 2 m to the left. What i

s his distance traveled?
Mathematics
2 answers:
Rus_ich [418]2 years ago
8 0

Answer:

14 meters

Step-by-step explanation:

Remember that distance is the total ground covered by the movement of the person that is covering that movement, in this example we just need to add all of the displacement that he does and that would be the distance since Andy actually walked all of that:

3 meters + 4 meters + 5 meters + 2 meters= 14 meters

So the total distance voered by Andy was 14 meters.

Zinaida [17]2 years ago
7 0

Answer:

The distance traveled is 2 m to the right

Step-by-step explanation:

Let's consider positive right displacements and negative left displacements

so

we have

3 m to the right -----> +3

4 m to the left -------> -4

5 m to the right -----> +5

2 m to the left -----> -2

Adds the number to determine the distance traveled

+3-4+5-2=+2

The distance traveled is 2 m to the right

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The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs.
statuscvo [17]
The answer
ellipse main equatin is as follow:

X²/ a²   +  Y²/ b²  =1, where a≠0 and b≠0

for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then  </span>x² /3²= cos² t and y²/8² =  sin² t
therefore,  x² /3²+ y²/8²  =  cos² t + sin² t = 1
equivalent to x² /3²+ y²/8²  = 1

for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8²  = cos² 4t + sin² 4t=1

7 0
2 years ago
Read 2 more answers
What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.
Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see  that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are  (5,-3).

Distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-3-5)^2+(-1+1)^2}=8 units

BC=\sqrt{(5+1)^2+(-3+3)^2}=6 units

AC=\sqrt{(5+1)^2+(-3-5)^2}=10 units

Pythagoras theorem:(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}

AB^2+BC^2=8^2+6^2=100

AC^2=(10)^2=100

Therefore, AC^2=AB^2+BC^2

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is  a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula:x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Using this formula then, we get

Mid-point of hypotenuse AC is given by

x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1

Hence, the circum-center of triangle is (2,1).

7 0
2 years ago
A) Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4
vova2212 [387]

Answer:

Step-by-step explanation:

A)

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

B)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

x=3

(3,2)

C)

1.2x+2.4y=4.8

y-int:

1.2*0+2.4y=4.8

2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

x=4

(4,2)

4 0
2 years ago
Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price of the pair of shorts wa
spayn [35]

Answer:

$13.20

Step-by-step explanation:

5 0
2 years ago
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450x2y5 3,000x4y3 What is the least common multiple (LCM) of these monomials?
ivolga24 [154]
The LCM would be 14.. your textbook would be really helpful
7 0
2 years ago
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