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Mademuasel [1]
3 years ago
10

A line passes through the point (4,-2),(9,-8).Write an equation for the line in point-slope form. Then rewrite the equation in s

lope-intercept form
Mathematics
1 answer:
DiKsa [7]3 years ago
5 0
First find the slope of the line segment joining <span>(4,-2) and (9,-8).  It is:
        -8+2       -6
m = -------- = ------
          9-4         5

Using slope-intercept form,   y = mx + b:

                                              -8 = (-6/5)(9) + b, or -8 = -54/9 + b.

Then b must be -8 = -54/9 + b.  Solve for b: 

-72    54        -18
----- - ----- = -------- = -2.  Then y = mx + b becomes y = (-6/5)x - 2 (slope-
   9      9           9              intercept form).

Point-slope form is y-k = m(x-h), where (h,k) is a point on the line.

Then   y - (-8) = (-6/5)(x-9).  This is in point-slope form.
                                                                      </span>
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3 years ago
A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocop
nalin [4]

Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

                                 = (4 × 60) × 25

                                 = 240 ×25

                                 = 6000 pages

Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

           = \frac{6000}{100} × 3

           = 60 × 3

           = 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

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3 years ago
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Ksivusya [100]
The answer is this




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5 0
3 years ago
Maya completed 15 quiz problems in 10 minutes, Andrew completed 12 quiz problems in 8 minutes, and Charles completed 16 quiz pro
Phantasy [73]

Answer:

Charles completed the quiz problems at the slowest rate

Step-by-step explanation:

we know that

To find out the unit rate divide the number of quiz problems by the time employed

1) Maya completed 15 quiz problems in 10 minutes

so

\frac{15}{10}=1.5\ quiz\ problems\ per\ minute

2) Andrew completed 12 quiz problems in 8 minutes

so

\frac{12}{8}=1.5\ quiz\ problems\ per\ minute

3) Charles completed 16 quiz problems in 16 minutes

so

\frac{16}{16}=1\ quiz\ problem\ per\ minute

Compare the unit rates

1 < 1.5

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Charles completed the quiz problems at the slowest rate

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105.6ft

Step-by-step explanation:

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