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2 years ago

Vector V is shown in the graph below.

Mathematics

2 answers:

Lady_Fox [76]2 years ago

8 0

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

UkoKoshka [18]2 years ago

7 0

Answer:

(b) v = -8i -6j

Step-by-step explanation:

The unit vectors in the x- and y-directions are i and j, respectively.

The vector v shown in the graph extends from x=9 to x=1, or (1 -9) = -8 units in the x-direction.

It extends from y=9 to y=3, or (3-9) = -6 units in the y-direction.

Represented as a sum of x- and y-vectors, that is ...

v = -8<em>i</em> -6<em>j</em>

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Question:

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Answer:

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Step-by-step explanation:

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$Rate = 30\ pages/day$

This implies that Jesse will cover 30y in y days

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$Rate = 35\ pages/day$

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

$y = x + 1$

So, we have the following equations:

$Jesse = 30y$

$Amir= 35x$

$y = x + 1$

To get the number of days when they read the same number of pages, we have:

$Jesse = Amir$

Substitute values for Jesse and Amir

$30y = 35x$

Substitute x + 1 for y

$30(x+1) = 35x$

Open bracket

$30x+30 = 35x$

Collect Like Terms

$30 = 35x-30x$

$30 = 5x$

Solve for x

$\frac{30}{5} = \frac{5x}{5}$

$\frac{30}{5} = x$

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$x = 6$

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Step-by-step explanation:

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