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kumpel [21]
3 years ago
13

In this diagram, each square represents 1 km. What is the displacement of the car?​

Mathematics
2 answers:
Brut [27]3 years ago
8 0
<h3>Answer: C) 2 km west</h3>

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

morpeh [17]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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If x=5 then what is x+1278436-888+946286-x+7+x?
Anvisha [2.4K]
Well if x=5 then you just plug in so 5+<span>1278436-888+946286-5+7+5= 2223846
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4 0
3 years ago
find an equation in the form y=ax^2+bx+c for the parabola passing through the points. (2,28),(4,116),(-3,88)
IgorC [24]
<h3>Answer:</h3>

y = 8x² -4x +4

<h3>Explanation:</h3>

I find it quick and easy to let a graphing calculator do quadratic regression on the given points. It gives the coefficients of the equation directly. (See attached.)

_____

If you want to do this "by hand," you can substitute each of the x and y value pairs into the equation to get three linear equations in a, b, and c. These are generally easy to solve, as the "c" variable can be eliminated right away.

<em>For x = 2</em>

... 28 = a·2² +b·2 +c = 4a +2b +c

<em>For x = 4</em>

... 116 = a·4² +4b +c = 16a +4b +c

<em>For x = -3</em>

... 88 = a·(-3)² +b·(-3) +c = 9a -3b +c

Subtracting the first and third equations from the second, we have ...

... (16a +4b +c) -(4a +2b +c) = (116) -(28) ⇒ 12a +2b = 88

... (16a +4b +c) -(9a -3b +c) = (116) -(88) ⇒ 7a +7b = 28

Dividing the first of these reduced equations by 2, and the second by 7, we have ...

  • 6a +b = 44
  • a +b = 4

Subtracting the second of these from the first gives ...

... (6a +b) -(a +b) = (44) -(4) ⇒ 5a = 40

From which we find

... a = 8

... b = 4 -a = 4 -8 = -4

We choose the first of the original equations to find c:

... c = 28 -4a -2b = 28 -4·8 -2(-4)

... = 28 -32 +8 = 4

With (a, b, c) = (8, -4, 4), the equation of the parabola is ...

... y = 8x² -4x +4

5 0
3 years ago
What number needs to be added to make a mean of 80 with the numbers 71 80 and 86
pentagon [3]
80*4=320-(71+80+86)=83 So 83 needs to be added.
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3 years ago
Work out<br><br> 1/3 + 2/9<br><br> Give your answer in its simplest form
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Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

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4 0
2 years ago
Read 2 more answers
45% as fraction in the simplest form​
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Answer:9/20

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7 0
3 years ago
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