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QveST [7]
3 years ago
10

Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0
Here is a sample problem
has to be perpendicular to y=(4/9)*x-2 and pass through 4,3,


y-b=m(x-a)
slope of -9/4 is perpendicular to slope of 4/9, as y=4/9x-2 has slope 4/9. Our point is (4,3) therefore.
y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
y=-9/4x+12
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Four more than the product of a number and 3 equals 7.
san4es73 [151]

The phrase you typed can be written in mathematical form using a replacement of "a number" with the letter "x" (for our unknown).

So we can translate in mathematical form as shown below:

"<em>four more than the product of a number and 3 equals 7</em>"

x * 3 + 4 = 7

and of course we can solve this equation by operating with thenumbers so as to isolate the unknown "x"on one side of the equal sign:

Subtract 4 from both sides:

x * 3 = 7 - 4

x * 3 = 3

Divide both sides by 3 (so as to eliminate the factor 3 multiplying x):

x = 3 / 3

x = 1

And our answer is that the unknown number is 1 (one).

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