Use the diagram to answer each of the following questions.

Mathematics

1 answer:

zalisa [80]2 years ago

6 0

The value of w given that k is 15 is 30

<h3>Sum of vectors</h3>

From the given diagram, the sum of the two vectors moving in the same direction is equal to the vector moving in the opposite direction.

The sum of vectors in similar directions = -k% - k%
The sum of vectors in similar directions = -2k%

Equating this to -w%

-2k% = -w%

-2k = -w

w = 2k

If k = `5

w = 2(15)

w = 30

Hence the value of w given that k is 15 is 30

Learn more on sum of vectors here: brainly.com/question/2927458

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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .