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3 years ago

Write the equation of the line going through the points (-6,3) and (1,11). Write the final equation in slope-intercept form.

1 answer:

7 0

This form of straight line is equation through the two points
y - y1 = (y2-y1)/(x2-x1) (x-x1) point 1(-6,3) and point 2(1,11) => x1= -6, y1= 3, x2=1 and y2= 11 => y- 3 = (11-3)/(1-(-6)) (x-(-6)) => y-3 = 8/(1+6) (x+6) =>
y-3 = 8/7 (x+6) => we will multiply the left and right sides of the equation with number 7 and we get => 7y-21=8(x+6) => 7y-21=8x+48 => we will add to both sides number (+21) => 7y = 8x + 69 => now we will divide the both sides with number 7 => y = (8/7)x+ 69/7 => where 8/7 is coefficient of direction or (slope) and 69/7 is the cut which this linear function make on the y axis.

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dybincka [34]

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3 years ago

Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many differe

wolverine [178]

Answer:

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Step-by-step explanation:

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2 years ago

How would you solve for the question below???<br> step by step please and thanks.

Airida [17]

Combine the two equations in the right amounts to eliminate y :

-2 (2x + 3y) + (3x + 6y) = -2 (17) + 30

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1 year ago

Could someone help me finding out the missing answers?

Tema [17]

Answer:

See below.

Step-by-step explanation:

The Slope of PQ is (v - z) / (w - x).

The slope of P'Q' =

(v + b) - (z + b)

--------------------- = (v - z) / (w - x)

(w + a - (x + a)

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So both lines are parallel.

7 0

2 years ago

The function d(s) = 0.0056s squared + 0.14s models the stopping distance

victus00 [196]

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be $d(s) = 0.0056\cdot s^{2} + 0.14\cdot s$ , where $d$ is the stopping distance measured in metres and $s$ is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of $d(s)$ .

2) Add the function $d = 7\,m$ .

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

4 0

2 years ago