What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
2 answers:
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be .
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be .
Answer:
Answer: the equation is y'=
Step-by-step explanation:
A line is given whose equation is given as ------(1)
and we have to find the equation of another line which is perpendicular to this.
Let the equation of the line be y'=mx'+c------(2)
This line passes through a point (8,1) so we put the values of x & y in the equation.
⇒ 1 = m×8+c
⇒ 8m+c = 1------(3)
We know that if two lines are perpendicular to each other then multiplication of their slopes is equal to (-1).
Therefore m×=(-1)
⇒
⇒m=
Now we put the value of m in equation (3) to get the value of c
8×+c = 1
12+c=1
c = (-11)
Therefore the equation will be y'=
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Answer: $2,150,000
Explanation: Let
T = Total expenses of Joint-Serve
Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by
Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T (1)
(Because 43% = 0.43)
Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000
So, the payroll expense is now calculated as
Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000) (2)
(Because 38% = 0.38 and total expenses = T + 250,000)
By comparing equations (1) and (2),
Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000
Explanation: Let
T = Total expenses of Joint-Serve
Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by
Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T (1)
(Because 43% = 0.43)
Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000
So, the payroll expense is now calculated as
Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000) (2)
(Because 38% = 0.38 and total expenses = T + 250,000)
By comparing equations (1) and (2),
Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000
Answer:
Distance from Earth to Proxima Centauri (in scientific notation) = kilometers
Step-by-step explanation:
We need the conversion between Astronomical Unit and Kilometers.
The conversion is:
1 AU = 1.496*10^8 km
or rounded, given in this problem,
1 AU = km
We need the distance from Earth to Proxima Centauri:
AU *
kilometers
When multiplying two numbers in scientific notation, we have to "multiply the coefficients" and "add the exponents".
Lets do this:
Distance from Earth to Proxima Centauri (in scientific notation) = kilometers
The ratio of the geometric sequence 40 is 2.
Given that geometric sequence is 40* and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a in which a is first term and r is common ratio.
Geometric sequence=40*
We have to first find the first term, second term and third term of a geometric progression.
First term=40*
=40*
=40*1
=40
Second term=40*
=40*
=40*2
=80
Third term=40*
=40*
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
Learn more about geometric progression at brainly.com/question/12006112
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