We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
4(3^3*x^(2*3)y^(4*3)/2^4x^(3*4)y^(5*4)
108x^6y^12/16x^12y^20
on the top (numerator): 27
on the bottom (denominator): 4x^6y^8
Answer:
x=9
Step-by-step explanation:
Subtract 10 to both sides leaving 2x=18 and divide 2 to get 9.
A square has 4 sides each of X miles. Its diagonal is X times Square Root of 2.
If the diagonal is 8 miles then 8 = xSqrt(2)
x = 8/Sqrt(2)
Rationalize the Denominator, i.e. multiply by Sqrt(2)/Sqrt(2)
X = 8Sqrt(2)/2
X = 4Sqrt(2)
More algebra pretending to be geometry. These questions should be banished from the planet.
A transversal across parallel lines generates the usual congruent and supplementary angles; here our pair are supplementary, adding to 180 degrees. Geometry done.
(2x + 12.8) + 117.6 = 180
2x = 180 - (12.8 + 117.6) = 49.6
x = 49.6/2 = 24.8
Answer: 24.8