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ss7ja [257]
3 years ago
10

Line MN passes through points M4, 3) and M7, 12). If the equation of the line is written in slope-intercept form, y-mx+ b, what

is the value of b?
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

<h2>b = -9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points M(4, 3) and N(7, 12). Substitute:

m=\dfrac{12-3}{7-4}=\dfrac{9}{3}=3

Therefore we have the equation:

y=3x+b

Put the coordinates of the point M to the equation:

3=3(4)+b

3=12+b            <em>subtract 12 from both sides</em>

-9=b

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Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marble
Paladinen [302]

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

Sack\ 1: B, W

Sack\ 2: G, Y

Sack\ 3: S, R

Required

The tree diagram

The selection process is as follows:

Sack\ 1: B, W

Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y) -- i.e. we write sack 2 as a subset of 1

Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R)) -- i.e. we write sack 3 as a subset of 2

<em>The only tree diagram that illustrates this is: option D</em>

5 0
3 years ago
Is student is reading a book about 370 words per minute convert this rate to words per hour
Helen [10]
Answer:
22,200 words per hour
step-by-step explanation:
60 minutes per hour
370 words per minute
370(60)
22,200
8 0
3 years ago
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What is the range of the function<br> y=3x+8?
jolli1 [7]
Translation, alternates between
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3 years ago
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Which is the graph of the equation y-3=0.5(x+4)?<br><br>Need help​
stiv31 [10]

Answer:

Top row 2nd one

Step-by-step explanation:

Distrube out .5 first and the equation will be .5x+2

Then add 3 to both sides and you get y=.5x+5

3 0
2 years ago
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A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195, ho
Thepotemich [5.8K]

The time spent by the repairman there will be 3 hours so the correct answer is option D.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.

The time will be calculated as:-

Total amount =  $195

Now the fixed consulting cost will be $60 and will be deducted from the

total amount.

Variable cost = 195 - 60 = 135

The $45 per hour charge so for $145 the time will be:-

Time = 135 / 45

Time =  3 Hours

Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.

To know more about relations follow

brainly.com/question/25862883

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