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Dimas [21]
3 years ago
5

Find the slope of a line perpendicular to the line whose slope is -11

Mathematics
2 answers:
dezoksy [38]3 years ago
5 0

Answer:

1/11

Step-by-step explanation:

The product of the slopes m1 and m2 of the two lines which are perpendicular to each other

m1 xm2 = -1

Here, let m1= -11

Therefore, slope of the line perpendicular to the line whose slope is -11 is

m2 =  \frac{ - 1}{m1}  =  \frac{ - 1}{ - 11}  =  \frac{1}{11}

Pachacha [2.7K]3 years ago
3 0
1/11 because it is the opposite reciprocal. And the new slope should be positive because it is the opposite.
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Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.
abruzzese [7]

Answer:

<u>First, find the cost function of DoItRight Housekeeping:</u>

  • Slope(m) = cost per hour = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12

<em>The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:</em>

f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8

<u>Therefore, the function for two companies are:</u>

  • The function for DoItRight is f(x)=12x+8
  • The function for CleanIt is g(x)=10x+16

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

7 0
3 years ago
What is g(-7)<br> someone pls help
Naya [18.7K]
If f(-3)=-9, g(5)=12 and f(5)=1
then g(-7)=-6
3 0
3 years ago
On a job application, Doris gave her age as 32 years. Her actual age at the time was about 27.What is the relative error for her
QveST [7]

Answer:

18.52%

Step-by-step explanation:

Relative error can be described as the ratio of the measured absolute value to the actual value

relative error = (stated age - actual age) / actual age x 100

(32 - 27) / 27 x 100

5 / 27 x 100 = 18.52%

8 0
3 years ago
The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31
Natali [406]

Answer: d=5

Step-by-step explanation:

Arithmetic progression

An=a1+d(n-1)

An= nth term

A1= first term

D= common difference

N= nth position

We are given the 4th and 7th terms

For 4th term,n=4

A4=a1+d(4-1)

A4= 16

16= a1+d(4-1)

16= a1+3d........equation 1

For the 7th term,n=7

A7=a1+d(7-1)

A7= 31

31=a1+6d......equation 2

Bring them together

16=a1+3d

31=a1+6d

Subtract equation 1 from 2

So we have

15=3d

D=15/3

D=5

Therefore, the common difference is 5

3 0
3 years ago
What is the number that is least whole number and has three different factors?
alisha [4.7K]
Methodically:

1 = 1*1 = 1 factor
2 = 1*2 = 2 factors
3 = 1*3 = 2 factors
4 = 1*4 = 2*2 = 3 factors

Therefore, 4 is the lowest number with 3 different factors
4 0
3 years ago
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