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malfutka [58]
3 years ago
13

Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6

Mathematics
2 answers:
sammy [17]3 years ago
7 0
You use the point slope formula 
y-y1=m(x-x1)
y-14=2/3(x-3)
y-14=2/3x-2
+14      +14
y=2/3x+12
Ugo [173]3 years ago
4 0
Y=mx+b
m=slope

paralell ines have same slope
y=2/3x-6
slope is 2/3

the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12
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Bumek [7]
The Answer is 76.5, because 153/2 is 76.5
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3 years ago
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a square window has a perimeter of (8x + 12) feet. Write an expression that represents the side length of the window. (in feet)
Harrizon [31]
8x+12=p so you would take away 12 from p making the equation 8x=p-12 and then divide that by 8 so the equation is x= p-12/8 ( x equals p minus 12 over 8)

7 0
3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
1 year ago
Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2x ? A) It is the graph of g(x) s
damaskus [11]

Answer:

It is the graph of g(x) shifted 5 units right and 2 units down.

Step-by-step explanation:

Given : f(x)=log_2(x−5)−2  

the parent function g(x)=log_2(x)

To get f(x) , 5 is subtracted from x

If we add any number with x  then we shift left

If we subtract any number from x  then we shift right

Here 5 is subtracted from x , so we shift 5 units right

Also -2  at the end

If we add any number at the end , then we shift up

if we subtract any number at the end , then we shift down

Here 2 is subtracted at the end , so we shift 2 units down

It is the graph of g(x) shifted 5 units right and 2 units down.

4 0
2 years ago
and a list of numbers the pattern increases by 0.001 as you move to the right if the third number list is 0.0 64 what is the fir
Ksivusya [100]

Answer:

  0.062

Step-by-step explanation:

The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...

  3rd number: 0.064

  2nd number: 0.064 -0.001 = 0.063

  1st number: 0.063 -0.001 = 0.062

7 0
3 years ago
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