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ELEN [110]
3 years ago
9

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

Select one of the two bottom statements which both read "To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation ."

Step-by-step explanation:

The y-intercept of a function is the point where the graph intersects the y-axis. Since the y-axis is the vertical line through the origin, we can start at the origin (0,0) and move up or down to where the line crosses the axis. This (0,y) point is the y-intercept. It is always (0,y) because it is located on the y-axis where x=0.

The slope of a function of a function is the rise/run or rate of change of the function. It can be seen on the graph of a line between any two coordinate pairs of the line. We know it as the variable m in linear function equations. To find it using an equation, we chose the point-slope form yy_{2}-y_{1} = m(x_{2}-x_{1}). We substitute two coordinate pairs from the line for (x_{1},y_{1} ) and (x_{2},y_{2}) to find the missing value m or slope of the line.

Bas_tet [7]3 years ago
8 0

Answer:

its the 3rd one : To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation

this is because the equation is y^1 - y^2 / x^1 - x^2

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Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph. T
Licemer1 [7]

Answer:

48 minutes

Step-by-step explanation:

Given: The distance between A and B is 8 miles. Speed of one jogger is 4 miles per hour, and speed of other jogger is 6 miles per hour.

To find: After how many minutes will the joggers meet, if they are running towards each other.

Solution:

Let both the joggers will meet after t hours, at point P between A and B.

We know that Distance=speed\times time

Let the jogger running at a speed of 4 miles per hour starts from point A.

So,

AP=speed\times time

AP=4\times t

AP=4t

Let the jogger running at a speed of 6 miles per hour starts from point B.

So,

BP=speed\times time

BP=6\times t

BP=6t

We have,

AP+BP=AB

\implies4t+6t=8

\implies10t=8

\implies t=\frac{8}{10}

\implies t=0.8

So, both the joggers will meet after 0.8 hours or 0.8\times60=48 minutes.

Hence, the joggers will meet after 48 minutes.

5 0
4 years ago
Calculate the length of AB. <br> Give your answer correct to 1 decimal place.
Mila [183]

Answer:

Step-by-step explanation:

take 56 degree as reference angle

using sin rule

sin 56=opposite/hypotenuse

0.82=AB/15

15*0.82=AB

12.3=AB

7 0
3 years ago
A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to
solong [7]
Refer to the diagram shown below.

w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.

The total space needed is
D = 4(w+d) + w
    = 5w + 4d
    = 5*6875 + 4*3.5 
D  = 48.375 in  or 48 3/8 in

Answer:  48 3/8 inches or 48.375 inches

6 0
4 years ago
There is a toll plaza every 121/2 miles along a 300 mile road. At each toll plaza drivers must pay $1.25. What does it cost to d
otez555 [7]

\boxed{Total \ cost=\$ 30}

<h2>Explanation:</h2>

We know some facts:

  • There is a toll plaza every 12 1/2 miles along a 300 mile road.
  • At each toll plaza drivers must pay $1.25.

First of all, we have to convert the mixed fraction into improper fraction:

12\frac{1}{2}=12+\frac{1}{2}=12.5miles

Next, let's calculate the total number of toll plaza along the way:

\frac{300}{12.5}=24 \ toll \ plaza \ in \ total

As in every toll plaza, the driver must pay $1.25 then the total cost to drive the whole length of the road is:

Total \ cost=24(1.25) \\ \\ \boxed{Total \ cost=\$ 30}

<h2>Learn more:</h2>

About total cost: brainly.com/question/1436308

#LearnWithBrainly

6 0
3 years ago
Find missing angles and variables
shutvik [7]

Answer:

e= 2x-4  

Step-by-step explanation:

the opposite of e is 2x-4.

7 0
4 years ago
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