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3 years ago

PLEASE HELP

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Angle between vectors u and v: 26.56 degrees

Step-by-step explanation:

I just recently did this question, so here's my response and hopefully that helps you:

Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.

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What line has slope of 5/8 and goes through the point (2,-3)

sweet-ann [11.9K]

Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34

7 0

4 years ago

dimensions of a building are 740 feet by 800 feet. If 1inch represents 8 feet. What are the dimensions of the building on the dr

nevsk [136]

Answer: 92.5 inches by 100 inches.

Step-by-step explanation:

1. You know that 1 inch represents 8 feet and the dimensions of the building are 740 feet by 800 feet, therefore, you must apply the proccedure shown below:

$\frac{740ft*1in}{8ft}=92,5in$

$\frac{800ft*1in}{8ft}=100in$

2. Then, as you can see, the dimensions of the building on the drawing are 92.5 inches by 100 inches.

6 0

3 years ago

Find the slope of the line passing through (3,-1) and (6,4).

dybincka [34]

Answer:

The answer to your question is: m = 5/3

Step-by-step explanation:

Data

A (3, -1)

B (6, 4)

Formula

$m = \frac{y2 - y1 }{x2 - x1}$

Process

$m = \frac{4 + 1}{6 - 3}$

$m = \frac{5}{3}$

4 0

4 years ago

Read 2 more answers

John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s

olganol [36]

Answer:

5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

7 0

3 years ago

Use the graph to write a linear function that relates y to x .

sergiy2304 [10]

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

$m = \frac{dy}{dx} = \frac{1}{2}$

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2

8 0

3 years ago