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Kruka [31]
3 years ago
13

A line passes through (1, 8) and is perpendicular to the graph of y = 2x+1. What equation

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

in the equation y = mx+b, m is the slope, and in the equation m =2

the slope of a perpendicular line is the negative reciprocal of the other slope.

slope of perpendicular= -1/m = -1/2

y = -1/2x + b

now find b by substituting in (1,8) into the partial equation

8 = -1/2 + b

b = 8+ 1/2

b = 17/2

please give thanks :) hope this helps

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Hey can you please help! posted picture of question
frosja888 [35]
The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.

This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.

Second equation is:

Qx - 6y = 8 
Taking 2 common we get:

(Q/2)x - 3y = 4

Comparing this equation to x- 3y = 4, we can say that 

Q/2 = 1
So,
Q = 2

Therefore, the second equation will be:

2x - 6y = 8
5 0
3 years ago
Carpeting costs $9.99 a yard. If Jan buys 17.4 yards, how much will it cost her? (Round your answer to the nearest hundredth)
slega [8]

Answer:

173.83

Step-by-step explanation:

17.4*9.99= 173.826

173.826 -> 173.83

8 0
3 years ago
Please Help! My question is in the picture.
Varvara68 [4.7K]
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
a_{n} =   \frac{1}{4} a_{(n-1)}

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
a_{n} = \frac{1}{4} a_{(n-1)}
a₁ = 2

4 0
3 years ago
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
Anuta_ua [19.1K]

Answer:

y = \frac{3}{2} x-11

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 isy = - \frac{2}{3} x+5.

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 \frac{3}{2}.

Then, we will find the y-intercept of the line using the standard equation of a line:

y=mx+c

1=\frac{3}{2} (8)+c

c=-11

Therefore, the equation of the line will be y = \frac{3}{2} x-11.


7 0
3 years ago
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Mashcka [7]

Answer:

288

Step-by-step explanation:

plz brainliest

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