All categories

3 years ago

Find the magnitude of the vector from the origin to (8. - 6) and write the vector as the sum of unit vectors.

Mathematics

1 answer:

Kay [80]3 years ago

3 0

The magnitude of the vector from the origin is 10

The unit vector in of the vector from the origin as (8/10, -6/10

Step-by-step explanation:

1.Finding the magnitude,

we have the formula,

magnitude=√a²+b²

we have the values as a=8 and b=-6

Finding the magnitude we get,

magnitude=√a²+b²

magnitude=√8²+6²

magnitude=√100

magnitude=10

The magnitude of the vector from the origin is 10

2.Finding the unit vector

Divide by the magnitude

Unit vector: (8/10, -6/10)

The unit vector in of the vector from the origin as (8/10, -6/10

You might be interested in

A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1&1/2 tablets Evry day. How many grams of vitamin C do u t

Alexxandr [17]

Answer:

Either 3/80 grams or 0.0385 grams

Step-by-step explanation:

1 tablet = 1/40 of a gram

1/40 of a gram = 1 ÷ 40 = 0.025 grams

1 tablet = 0.025 grams

1.5 tablets = x

1/1.5 = 0.025 / x Cross multiply

x*1 = 0.025 * 1.5 Combine the factors

x = 0.0375 grams Convert to a fraction

0.0375 = 3/80

8 0

3 years ago

the sponsor of a concert promises the concert singer a fee based on $5 per person in the audience. if attendence is below 200, h

larisa86 [58]

This would help you alot.

3 0

3 years ago

Read 2 more answers

The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than t

Kitty [74]

Answer:

The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y.

Step-by-step explanation:

A. the prediction interval is narrower than the confidence interval.

the prediction interval is always wider than the confidence interval.

B. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.

False

C. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y.

True

D. the confidence interval is wider than the prediction interval.

the prediction interval is wider

8 0

3 years ago

-8+(-4)+(-2)+(-1)+(-1/2)+.... what is the sum of the first 7 terms of the geometric series

likoan [24]

Your answer is 15.875

-8+(-4)+(-2)+(-1)+(-1/2)+(-1/4)+(-1/8)
you half the previous vaule to find the next value

8 0

3 years ago

Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explai

Nata [24]

Beth's description of the transformation is incorrect

<h3>Complete question</h3>

Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain

<h3>How to determine the true statement?</h3>

The functions are given as:

g(x) = x - 5 + 1

f(x) = x

When the function f(x) is translated 5 units left, we have:

f(x + 5) = x + 5

When the above function is translated 1 unit up, we have:

f(x + 5) + 1 = x + 5 + 1

This means that the actual equation of g(x) should be

g(x) = x + 5 + 1

And not g(x) = x - 5 + 1

By comparison;

g(x) = x - 5 + 1 and g(x) = x + 5 + 1 are not the same

Hence, Beth's description of the transformation is incorrect