Thanks. I’m not struggling or anything but thanks for the kind words.
Answer:
Two lines are parallel when they share the same slope.
Step-by-step explanation:
Two lines are parallel when they share the same slope.
The slope-intercept form of the equation of a line is: y=mx + b, where 'm' is the slope and 'b' the y-intercept.
If two equations have the same value for 'm', then those lines are parallel, for example:
y = 3x + 8 (Red line)
y = 3x + 5 (Blue line)
y = 3x - 10 (Green line)
All the equations stated above are parallel, to show that, I'm attaching the graph of the equations :).
The contractor has a better job because he receives the highest salary among the three.
Multiplying 8 hours of work by 20 working days in a month, we will get 160 monthly working hours.
Now let's compute:
Engineer: $6000 per mo. / 160 hrs. = $37.5 per hr.
Contractor: $80 per hr. * 160 hrs. = $12,800 per mo.
Teacher: $3000 per mo. / 160 hrs. = $18.75 per hr. + $50 per hr = $68.75 per hr.
Answer:
One answer because it is not a repeating fraction/decimal.
Step-by-step explanation:
The general form of the equation we need to find is (x - h)^2 = 4p(y- k).
The center is the distance between the directrix and focus.
So, center (h, k) = (3, 3/2) .
P = distance from center to the focus and it just so happens to be 1.5.
We now plug everything into the formula given above.
(x - 3)^2 = 4(1.5)(y - 3/2)
(x - 3)^2 = 6(y - 3/2)
Done!