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3 years ago

Use the slope formula

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

$m = -2$

Step-by-step explanation:

First lets fill in the variables

$m = \frac{3-9}{2--1}$

Now solve

3 - 9 = -6

2 - -1 = 3

-6/3 = -2

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5. What is the slope of the line that passes through (-2, 4) and (7, 1)?

just olya [345]

Answer:

Slope: $-\frac{1}{3}$

Step-by-step explanation:

Step 1: Use slope formula to find the slope

$m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}$

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is $-\frac{1}{3}$

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3 years ago

I need help quickkk!?

a_sh-v [17]

Answer:

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2 years ago

An antelope can travel 105 miles in 3 hours.If it continued traveling at the same speed, how far could it travel in 11 hours

devlian [24]

NAMASTE :)

HERE IS YOUR ANSWER:

aeroplane Travel in 3 hrs = 105 miles

aeroplane travel in 1 hr = 105/3 = 35 miles

aeroplane travel in 11 hrs = 35 ×11 = 385 miles

$\boxed{= 385 miles}$

6 0

3 years ago

What are the magnitude and direction of u+v+w ?

nevsk [136]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

<h3>How to determine the magnitude and the direction of a resultant</h3>

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

<h3>Resultant</h3>

$\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)$ (1)

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}$ (2)

<h3>Direction</h3>

$\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}$ (3)

Where $\theta$ is resultant angle, measured in degrees.

If we know that $\|\vec u\| = 90$ , $\theta_{u} = 40^{\circ}$ , $\|\vec v\| = 60$ , $\theta_{v} = 20^{\circ}$ , $\|\vec w\| = 40$ and $\theta_{w} = 30^{\circ}$ , then the resultant, its magnitude and its direction:

<h3>Resultant</h3>

$\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})$

$\vec r = (-54.824, 18.531)$

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}$

$\|\vec r\| \approx 57.871$

<h3>Direction</h3>

$\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)$

$\theta \approx 198.676^{\circ}$

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. $\blacksquare$

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13322477

3 0

1 year ago

What property is the same for a square, rectangle and a rhonbus?

Morgarella [4.7K]

A square is a rectangle and a rhombus therefore the properties of parallelograms, rectangles, and rhombuses would all apply to a square. Meaning they must have parallel <span>sides as well as opposite angles that are </span>congruent <span>and consecutive angles that are supplementary.</span>

6 0

2 years ago