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Ostrovityanka [42]
2 years ago
12

What is the equation of the line that passes through the point (7,2) and has a slope of 1?

Mathematics
1 answer:
Tema [17]2 years ago
6 0

Answer:

x-y=5

Step-by-step explanation:

If a line has a slope of 1, its function can be write as x-y=c

insert point (7,2),t then we can find out the constant c=5, so the equation of this line is x-y=5

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What equation results from completing the square and then factoring?<br> x2 + 10x = 15
Stells [14]
12x=15
Divide by 12
X=5/4
6 0
3 years ago
Read 2 more answers
one number is 4 times a first number. A third number is 100 more than the first number. if the sum of the three numbers is 592 f
kati45 [8]

<u>Answer</u>

1st number = x

2nd number = 4x

3rd number = x + 100

sum of three numbers = 592

x + 4x + x + 100 = 592

6x + 100 = 592

6x = 592 - 100

6x = 492

x = 492/6

x = 82

1st number, x = 82

1st number, x = 822nd number, 4x = 328

1st number, x = 822nd number, 4x = 3283rd number, x+100 = 182

check :

82 + 328 + 182 = 592

pls mark as brainliest. . . ☺

3 0
3 years ago
What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
Read 2 more answers
A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v
kifflom [539]
The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
                                        μ = (100 + 100 + 120 + 120 + 180) / 5
                                         μ = 124

Substituting these values to the equation for variance,
                                 
                              σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864. 
4 0
3 years ago
Read 2 more answers
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open
svet-max [94.6K]
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is  [(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours where n represents the number of days in the month

apros 501.429
8 0
3 years ago
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