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attashe74 [19]
2 years ago
9

Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y=-2x+8.

Mathematics
1 answer:
snow_tiger [21]2 years ago
4 0

Answer:

\frac{1}{2} x - 4

Step-by-step explanation:

Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example.  You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.

With the slope and a point, we can come up with an equation using this formula:

y - y-coordinate = slope (x - x-coordinate)

So we have y - (-2) = 1/2 (x - 4).

Simplify the equation:  y + 2 = 1/2 x - 2

Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2

Simplify: y = 1/2 x - 4.

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The U.S. 2010 federal income tax for a single person with taxable income x dollars is f(x) dollars, where T is the function defi
Alika [10]

Part A

What is the 2010 federal income tax for a single person whose taxable income that year was 4000 dollars?

The function is

T(x)=0.1x

so

For x=4,000

substitute

T(x)=0.1*(4,000)

<h2>T(x)=$400</h2>

Part B

What is the 2010 federal income tax for a single person whose taxable income that year was 170000 dollars?

the function is

T(x)=0.28x-6,290.75

For x=170,000

substitute

T(x)=0.28*(170,000)-6,290.75

<h2>T(x)=$41,309.25</h2>

Part C

What is the taxable income for a single person whose 2010 federal income tax was 105000 dollars?

The function is

T(x)=0.28x-6,290.75

For T(x)=105,000

substitute

105,000=0.28x-6,290.75

solve for x

0.28x=105,000+6,290.75

0.28x=111,290.75

<h2>x=$397,466.96</h2><h2 />
6 0
9 months ago
Quiz number 2 question 2 help?
Crazy boy [7]

Answer:

The answer is H.

Step-by-step explanation:

You have to apply mid point formula :

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

let \: (2,8) \: be \: (x1,y1)

let \: (7, - 5) \: be \: (x2,y2)

mipoint = ( \frac{2 + 7}{2} , \frac{8 + ( - 5)}{2} )

midpoint = ( \frac{9}{2} , \frac{4}{2} )

midpoint = (4 \frac{1}{2} ,2)

3 0
3 years ago
Please help i’ll give brainliest
Assoli18 [71]

Answer: A

Step-by-step explanation:

An ordered pair is a solution if when substituted it makes the equation true. If when you substitute, it does not make the equation true then it is not a solution.

y = -5x - 4

Test:

-52 = -5(10) - 4

-52 = -54 FALSE

8 0
2 years ago
Read 2 more answers
What is the average 100 / 3000
amid [387]

Answer:

The average is 1550

Step-by-step explanation:

idk how to do this i just looked up an average calculator

7 0
3 years ago
When you multiply a fraction with a mix number will the product always be greater than one
jok3333 [9.3K]
If we can find 1 contradiction then answer is no
hmm

less than one in a fraction is when in form a/b, b>a

1/1000 times 1 and 1/2 same as 1/1000 times 3/2=3/2000
that is less than 1

answer is NO

4 0
3 years ago
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