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sesenic [268]
3 years ago
13

write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:

  y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

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Convert the recursive equation that is below into an explicit equation where a is the initial value and the time elapsed is 1 ye
aleksley [76]

Answer:

  f(n) = a+200(n -1)

Step-by-step explanation:

The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...

 an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...

  an = a + 200(n -1)

Written as a function of n, this is ...

  f(n) = a + 200(n -1)

_____

Based on the problem description, we cannot tell how n relates to time, so we have created an f(n) that gives the same result as the recursive definition of f(n).

8 0
2 years ago
Circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
Kipish [7]
Circle with the radius 3 (r=3) and the center (2, -2)
5 0
3 years ago
Read 2 more answers
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he reco
mel-nik [20]

Answer:

Step-by-step explanation:

i think that it is either -7 - -8 or -7 + 8 or -7+-8.

4 0
2 years ago
The sum of two integers is 8 and their product is -20.<br>What are the integers?​
emmasim [6.3K]

Answer:

The answer to your question is

x = -2 and y = 10     or   x = 10 and y = -2

Step-by-step explanation:

          x + y = 8   (1)      from (1)    x = 8 - y

         xy = - 20    (2)

       

Solve them by substitution

      (8 - y) y = - 20

      8y - y² = -20

      y² - 8y - 20 = 0

   ( y - 10) (y + 2) = 0

    y - 10 = 0              and      y + 2 = 0

   <u> y1 = 10 </u>                               <u>y2 = -2</u>

 x1 = 8 - 10                             x2 = 8 - -2

 <u>x1 = -2</u>                                  <u> x2 = 10</u>

8 0
2 years ago
Find the quotient of 3/5 and 9/10. Express your answer in simplest form.
Drupady [299]

Answer: 2/3

Step-by-step explanation:

3/5 divided by 9/10 = 3/5 x 10/9

I got 30/45 which simplifies to 2/3

4 0
3 years ago
Read 2 more answers
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