Answer:
x =27
Step-by-step explanation:
3x - 4y=65
lets substitute the value of y in the equation:
3x -4(4) =65
3x = 65 +16
3x= 81
x= 81/3
x = 27
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is

The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


That's standard form; let's plug in the numbers:


Answer:
3
Step-by-step explanation:
Answer:
F. (0, 5) and (-4, 2)
Step-by-step explanation:
We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:
F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.
Answer:
34.54 inches.
Step-by-step explanation:
The formula for the circumference of the circle is given as
, where
is rounded to 3.14 and d is the diameter of the circle, 11 inches. Simply plug these values into the equation for the circumference to get your answer:

C = 34.54 inches