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<em>⇒numerator and denominator are divided (÷2)</em>
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<em>Good homework :)</em>
<em>⇒numerator and denominator are divided (÷2)</em>
<em>=
<em>Good homework :)</em>
What is the answer to 2/3x = -8?
1 answer:
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a^2 + b^2 = c^2
a = sqrt(c^2 - b^2) = sqrt (20^2 - 16^2)
= 12
sin = a/c = 12/20
= 3/5
cos = b/c = 16/20
= 4/5
tan = a/b = 12/16
= 3/4
csc = c/a = 20/12
= 5/3
= 1 2/3
sec = c/b = 20/16
= 5/4
= 1 1/4
The equation of line in standard form is 5x - 4y = -38
<em><u>Solution:</u></em>
Given that we have to find the equation of line perpendicular to 4x + 5y = 40 that includes the point (-10, -3)
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------ eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given equation of line is:
4x + 5y = 40
Rearranging to slope intercept form, we get
5y = -4x + 40
On comparing the above equation with eqn 1,
We know that product of slope of line and slope of line perpendicular to given line is equal to -1
Therefore,
Now find the equation of line with slope 5/4 and passing through (-10, -3)
Substitute and (x, y) = (-10, -3) in eqn 1
Substitute and
in eqn 1
The standard form of an equation is Ax + By = C
Therefore,
Thus the equation of line in standard form is found