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juin [17]
3 years ago
14

Write an equation for a line perpendicular to y=4x+1 and passing through the point (12,-7).

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

Step-by-step explanation:

y = 4x + 1

Slope of line = 4

Slope of perpendicular to line = -¼

Point-slope equation for line of slope -¼ that passes through (12, -7):

y+7= -¼(x-12)

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Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


5 0
3 years ago
Read 2 more answers
Solve the equation ?
Morgarella [4.7K]
6m+1=-23.  Do the inverse operation of adding 1 which is to subtract 1 to both sides =====> 6m+1-1= -23-1

You divide by 6 both sides  
6m/6=-24/6

m= -4


Brainliest?
3 0
3 years ago
Which of the following are solutions to the inequality below? Select all that apply.
Naddik [55]

Answer:

p=4

Step-by-step explanation:

because 5 is less than or equal to four!

another number grater than five no less than

so the answer is p=4

7 0
2 years ago
A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.​
Marina CMI [18]

Answer:

coplementary \: angles \:  = 90° \\ (x + 9)° + (7x - 15)° = 90° \\ (8x  - 6)° = 90° \\ 8x = 90  + 6 \\ 8x = 96° \\ x = 12\\ angle \: B.  = ((7 \times 12)- 15) \\  = 69°

3 0
3 years ago
10 more than the quotient of a number and 8 is at least 12. - how would I write this in a "algebraic expression"?
Sonja [21]
X - the number
the quotient of the number and 8 = x/8
10 more than the quotient of the number and 8 = (x/8)+10
10 more than the quotient of the number and 8 is at least 12 = (x/8)+10≥12

\frac{x}{8}+10 \geq 12
4 0
3 years ago
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