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1 year ago

Find the equation of the graphed line.

Mathematics

1 answer:

GrogVix [38]1 year ago

8 0

Answer:

a. y = -1/2x - 2

Step-by-step explanation:

The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.

<h3>slope</h3>

The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...

m = rise/run = -2/4 = -1/2

In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.

<h3>equation</h3>

The slope-intercept equation is ...

y = mx +b . . . . . . . slope m, y-intercept b

We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...

y = -1/2x -2 . . . . . matches choice A

_____

<em>Additional comment</em>

When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.

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You are designing an amusement park ride with cars that will spin in a circle around a center axis, and the cars are located at

Andrei [34K]

Answer:

144 people.

Step-by-step explanation:

Let n be the vertices, where cars are located.

We have been given that the sum of the measures of the angles' vertices is 6120°.

Let us find the number of vertices using formula:

$\text{Sum of all interior angles of a polygon with n sides}=180(n-2)$ .

Upon substituting the given sum of the measures of the angles in this formula we will get,

$6120=180(n-2)$

Using distributive property $a(b+c)=a*b+a*c$ we will get,

$6120=180n-360$

Adding 360 to both sides of our equation we will get,

$6120+360=180n-360+360$

$6480=180n$

Upon dividing both sides of our equation by 180 we will get,

$\frac{6480}{180}=\frac{180n}{180}$

$36=n$

As the cars are located on the vertices of regular polygon, so there will be 36 cars in the ride.

We are told that each car holds a maximum of 4 people, so the number of maximum people who can ride at one time will be equal to 4 times 36.

$\text{Maximum number of people who can be on the ride at one time}=4\times 36$

$\text{Maximum number of people who can be on the ride at one time}=144$

Therefore, the maximum number of people who can be on the ride at one time is 144 people.

5 0

3 years ago

The constant of proportionality can be found by finding the

KatRina [158]

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

6 0

2 years ago

Read 2 more answers

How many line of symmetry does a hexagon has?

yaroslaw [1]

Since it is a hexagon and it has 6 sides (and we assume it is regular since it doesn't tell us otherwise) then the hexagon will have 6 lines of symmetry (:

3 0

3 years ago

Please help me with this problem <br> Evaluate (-½·3)³

-Dominant- [34]

Answer: -27/8

Step-by-step explanation:

$\left(-\frac{1}{2}\cdot \:3\right)^3$