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sesenic [268]
3 years ago
12

Write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

y = 8x + 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

<em>Take the negative reciprocal of the 1st equation</em>

m = 8

y = 8x + b

Step 2: Find <em>b</em>

7 = 8(-1) + b

7 = -8 + b

b = 15

Step 3: Rewrite perpendicular equation

y = 8x + 15

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Evaluate the expression for the given value of the variable. y -8 +12;y=32
MrMuchimi

Answer:

36

Step-by-step explanation:

32-8+12=24+12=36

4 0
3 years ago
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y
jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0
3 years ago
1. In the number 7563291 write down the column that the 5 is in
Tasya [4]

Answer:

  1. Hundred Thousands
  2. -4
  3. 90
  4. a-b
  5. 6/14 = 3/7
  6. 1204
  7. 3500 & 3600
  8. I am guessing but I am not sure on how to do this one. x=11
  9. 3/8(6)-1/6(8)=18/48-8/48=10/48=****5/24****
  10. 6.6 repeating
  11. 180-72=108-49=****59****
  12. 5,6,7,8,9
  13. No number 13
  14. 60%
  15. 3.5 or if adding 7% tax then it is 53.50
  16. 8 edges

8 0
3 years ago
Find the sum of the first 48 terms of the following series, to the nearest integer.
Andru [333]

Answer:

3,672

Step-by-step explanation:

Given the sequence 6, 9, 12...

The sequence is an arithmetic sequence

first term a = 6

common difference d = 9 - 6 = 12 - 9 = 3

number of terms n = 48

Sn = n/2[2a+(n-1)d]

Substitute the given values

S48 = 48/2[2(6)+(48-1)(3)]

S48 = 24(12+(3*47))

S48 = 24(12+141)

S48 = 24(153)

S48 = 3,672

Hence the sum of the first 48terms is 3,672

8 0
3 years ago
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If
Nataly [62]

Answer:

16

Step-by-step explanation:

4 0
2 years ago
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