Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
Answer:
1 x 10^10
2 x 10^-10
7 x 10^-11
8 x 10^-11
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
The distance between the top and John
The distance is calculated using:

Where
--- the angle between the diagonal line and the vertical line


So, we have:






<em> --- approximated</em>
441 to the nearest ten is 440
345 to the nearest ten is 350
The sum is;
440 + 350 = 790
Answer:
x = 42
Step-by-step explanation:
Cross multiplying is done as follows:
<em>the </em><em>denominator </em><em>of the second </em><em>fraction </em><em>is </em><em>multiplied </em><em>with the </em><em>numerator </em><em>of the first </em><em>equation</em> and <u>denominator of the first fraction is multiplied with the numerator of the second equation</u>
5(3x+6) = 4(4x-3) multiply inside the parenthesis
15x + 30 = 16x - 12 transfer like terms to same side of the equation
30 + 12 = 16x - 15x
42 = x