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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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A moving company charges $0.06
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Step-by-step explanation:

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at a party, everyone shook hands with everybody else. there were 66 handshakes. How many people shook hands?
Whitepunk [10]

Answer:

12

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7 0
3 years ago
Katherine invested $86,000 in an account paying an interest rate of 52%
earnstyle [38]

Answer: $4,331‬

Step-by-step explanation:

I will assume that the question meant 5.2% not 52% as this is quite excessive.

Katherine after 13 years.

Convert the variables;

n = 13 years = 13 * 365 = ‭4,745‬ days

r = 5.2% = 5.2/365 = 5.2/365%

Future value = P * ( 1 + r)^n

= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵

= $169,068

Michael after 13 years;

If compounded continuously, the formula is;

Future value = Pe^rt

= 86,000 * e⁰.⁰⁵ ˣ ¹³

= $164,737

Difference = 169,068 - 164,737

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5 0
3 years ago
Daisy wants to find out where the greatest number of people buy fast food for lunch. He surveys every fourth person on a random
vekshin1

Answer:

B

Step-by-step explanation:

that way when surveying everyone she’ll know the exact number

6 0
3 years ago
Read 2 more answers
An artist purchased 24 high quality canvases to be used for painting this fall. Each week she will allow herself to use three of
Nadusha1986 [10]

Answer:

<u><em>canvases over weeks </em></u>

<u><em> </em></u>

<u><em>Step-by-step explanation: </em></u>

<u><em> </em></u>

<u><em>Given: </em></u>

<u><em> </em></u>

<u><em>w(h) represents how many hours per week </em></u>

<u><em> </em></u>

<u><em>c(t) approximates how many canvases she paints per hour </em></u>

<u><em> </em></u>

<u><em>In function composition, if we have two function f(x) and g(x) then </em></u>

<u><em> </em></u>

<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. </em></u>

<u><em> </em></u>

<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!

8 0
3 years ago
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