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kozerog [31]
3 years ago
13

(-8, 4), (4, -4) Write in standard form

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer written in standard form:

2x + 3y = -4

crimeas [40]3 years ago
6 0

9514 1404 393

Answer:

  2x +3y = -4

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1

  m = (-4 -4)/(4 -(-8)) = -8/12 = -2/3

This can be used in the point-slope formula to find an equation of the line:

  y -y1 = m(x -x1)

  y -4 = -2/3(x -(-8)) . . . . substituting for (x1, y1) and m

Multiplying by 3 eliminated fractions:

  3(y -4) = -2(x +8)

  3y -12 = -2x -16

Adding 2x+12 to both sides gives the standard form equation:

  2x +3y = -4

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Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation
Alex Ar [27]

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x  and y are two points  representing the  temperature and chirps /min respectively

And  

m= slope

Step 2 : Finding the slope , m

where x1=60

           y1=92

           x2= 75

           y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and  the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

6 0
3 years ago
How do I work this out​
anyanavicka [17]

Answer:

2.21073919x10^23

Step-by-step explanation:

Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

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3 years ago
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