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aev [14]
3 years ago
7

Input the equation of the given line in slope-intercept form. the line with m=2 and b=-4

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

<h2>y = 2x - 4</h2>

Step-by-step explanation:

The slope-intercept form:

y = mx + b

We have m = 2 and b = -4. Substitute:

y = 2x - 4

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Find the exact distance between the line 6x-y=3 and the point (6,2). Show your work. Explain your answer.
Serggg [28]

Answer:

The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .

Step-by-step explanation:

Given as :

The equation of line is 6 x - y = 3

And The points is ( 6 , 2 )

Let The distance between the line and points is d unit

So, The distance of point from the line = \frac{\begin{vmatrix}ax & +b y & + c\end{vmatrix}}{\sqrt{a^{2}+b^{2}}}

Or, d = \frac{\begin{vmatrix}6\times x & +(-1)\times  y & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d =  \frac{\begin{vmatrix}6\times 6 & +(-1)\times  2 & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d = \frac{36 - 2 - 3}{\sqrt{37} }

∴    d = \frac{31}{\sqrt{37} }  unit

Hence The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .   Answer

4 0
2 years ago
Read 2 more answers
What is the inverse of the logarithmic function of f(x)=log2x
neonofarm [45]

Answer:

y=2^{x}

6 0
3 years ago
Given the pay rate and hours worked, determine the gross earnings, Federal taxes (assuming 18% of gross earnings), state taxes (
ella [17]

Answer:

Let us assume that the pay rate per hour = x

no. of hours worked = n

Gross earnings = x*n

Federal taxes = 18% of gross earnings

= 0.18(x*n)

State taxes = 4% of gross earnings

= 0.04(x*n)

Social security deduction = 7.05% of gross earnings

= 0.0705(x*n)

Total deductions = Federal taxes + State taxes +SSD

= 0.18(x*n) + 0.04(x*n) + 0.0705(x*n)

= 0.2905(x*n)

Net pay = Gross earnings - Total Deduction

Net pay = x*n - 0.2905(x*n)

Net pay = 0.7095(x*n)

3 0
3 years ago
Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th stree
muminat

Answer: The starting time is 2:27 and finishing time is 7:09.    


Step-by-step explanation: It is given that Ben started from 4th street and he finished at 98th street.

Also, at 3:00, he was on 15th street and at 4:30, he was on 45th street.

That is, time taken to cover (45-15), i.e., 30 streets is 90 minutes,                           so the time taken to cover 1 street is 3 minutes.

Therefore, Ben covers distance from one street to second in 3 minutes. Since he started from 4th street, and there are 11 streets to cover between 4 and 15, so Ben's starting time was (3:00 - 3×11 min) = 2:27.

And his finishing time was (4:30 + 3×53 min) = 7:09.

Again, the equation that tells us on what street 'N' he was after time 'T' of his starting can be written as

N=4+\dfrac{T}{3.}

Thus, the starting and finishing time was 2:27 and 7:09 respectively.



3 0
3 years ago
Please help I’m timed!!
SSSSS [86.1K]

Answer:

5/9, 2/7, 3/10 are all rational numbers

Step-by-step explanation:

Remember that all rational numbers are able to be written as a fraction or ratio of two integers.

8 0
3 years ago
Read 2 more answers
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