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Lady_Fox [76]
3 years ago
12

AB has endpoints at A(4,−8) and B(−6,−2).

Mathematics
1 answer:
lesantik [10]3 years ago
6 0
(-2,-5) is the answer for this by doing -6-4 and -8–2
You might be interested in
What is the period of the function f(x)=sin(x/3) ?
vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0
3 years ago
Seven times a number minus the number is -48. Find the number.
irinina [24]
The answer is -8 I believe.

To put this into an equation, we get 7x-x=-48. This is equal to 6x=-48. When we divide we get -8.
8 0
3 years ago
Read 2 more answers
A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de
tiny-mole [99]

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, \hat{p}= 0.6

Therefore \hat{q}  = 1 - \hat{p} = 1 - 0.6  = 0.4

The sample size  = 12

Therefore the standard deviation of the sample,

s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} }  = \sqrt{\frac{0.6 \times 0.4}{12} }  = 0.1414

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

The answer is c.) 0.6 and 0.14

6 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
         7.2-17.4           -6
m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
4 years ago
Clare is paid $90 for 5 hours of work. At thos rate how many seconds does i take for her to earn 25 cents?
natka813 [3]

We are given

Clare is paid $90 for 5 hours of work

Total money paid =$90

total hours of work =5 hours

so, firstly  we will find rate of work

rate of work = ( total money paid)/( total hours of work)

now, we can plug values

and we get

The rate of work is

=\frac{90}{5}

=18 $/ hour

now, we have to find time for amount paid is 25 cents

so, amount paid =25 cents

100 cents =1$

so, amount paid =$ 0.25

Since, the rate is constant

so, we can take same rate here

now, we can use formula

rate of work = ( total money paid)/( total hours of work)

now, we can plug values

18=\frac{0.25}{T}

now, we can solve for T

T=\frac{0.25}{18} hour

since, T is in hours

so, we can change into seconds

1 hour =3600seconds

so, we can plug

T=\frac{0.25}{18}\times 3600 seconds

T=50 seconds......................Answer


6 0
3 years ago
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