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rusak2 [61]
3 years ago
12

Write an equation of the line passing through the point A(6,−1)A(6,−1) that is perpendicular to the line y = −2x+8y = −2x+8.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0
So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to 
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is: 
y = -4 + 1/2x 
Hope this helps!
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The population of Minnesota in thousands, t years since 2000 can be represented by P=37t+4934.
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Answer(A):

Given that the population of Minnesota in thousands, t years since 2000 can be represented by equation:

P=37t+4934

P-intercept means value of P when t=0

P=37*0+4934

P=0+4934

P=4934

Hence P-intercept is 4934. Which means that population of Minnesota in year 2000 was 4934.


Answer(B):

t-intercept means value of t when P=0

0=37t+4934

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divide by 37

-4934/37=t

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Hence t-intercept is -4934/37 which is approx -133. Which means that population of Minnesota in year (2000-133) that is in year 1867 was 0.

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Therefore the sentence “When you square five times a number, you get three more than the number.” is the same as:

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Hope this helps, have a great day! :)
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2 years ago
Read 2 more answers
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