Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)
1 answer:
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Answer:
x +4y = -5
Step-by-step explanation:
The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.
3x +12y = 3(-5) +12(0)
3x +12y = -15
We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:
x + 4y = -5
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Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, <em>x:</em>
c² = a² + b²
c² = (6.1)² + (10.6)²
c² = 37.21 + 112.36
c = 12.2 mi
Therefore, x = 12.2 mi