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Kryger [21]
4 years ago
11

Write the equation of a line that passes through points (0,4) and (-2,-3) in slope intercept form

Mathematics
1 answer:
Otrada [13]4 years ago
4 0

y=mx+b is the equation of a line;

m=slope , b= y-intercept

You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))

In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.

m= 7/2 ; so we have : y= (7/2)x+b

We are give a set of points which it passes through, we can simply plug them in:

4 = (7/2)(0)+b (0 is the x and 4 is the y)

We get 4 = 0 +b .... 4=b

our final equation is : y=(7/2)x+4

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The representation of the equation given in the task content; 2/5 v + 3/4 = 2/3x² as a s sentence is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.

<h3>What is the representation of the equation as given in the task content?</h3>

It follows from the convention that the following fractions can be named as follows;

  • 2/5 means two-fifths.
  • 3/4 means three-quarters.
  • 2/3 means two-thirds.

Hence, it follows from the iterations above and how they relate to the equation given in the task content that the representation is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.

Read more on equations as words;

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8 0
2 years ago
What are the next three terms in the sequence 4,8,12,16?
Mariana [72]

Answer:

20,24,28

Step-by-step explanation:

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3 years ago
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dimulka [17.4K]

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X=57

Step-by-step explanation:

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Given the following table, determine the missing value.
sergeinik [125]
We know that
Based on the table
Percent%=[1-Decay factor]*100%
so

for decay factor=0.98
Percent%=[1-0.98]*100%----> 2%

for decay factor=0.50
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for decay factor=0.64
Percent%=[1-0.64]*100%----> 36%

for decay factor=0.23
Percent%=[1-0.23]*100%----> 77%

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the answer is
36%

6 0
3 years ago
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LUCKY_DIMON [66]
(b+5)(b-7)
hope it can help u
5 0
3 years ago
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