Answer:
Step-by-step explanation:
Use the midpoint formula to solve:
We know the midpoint and one set of coordinates, so filling those in:
Since the -7 is the x coordinate of the midpoint, we set the x part of the equation equal to -7 and solve for x, and then do the same for y. The 2 equations are:
and 
We solve each one of these to get the x and y coordinates of the other endpoint. In both cases, multiply both sides of the equations by 2 and then solve by either adding or subtracting.
-14 = x - 19 so
5 = x
16 = y + 30 so
-14 = y
The coordinates of the other endpoint are (5, -14)
Since we already know the area and width of the playground, and we are trying to find the length, we simply need to divide 3392 by 32. This gives us an answer of 106m.
Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
So now we can write x = 20 hours
Hope this was helpful :)
Identify the slope of the equation, substitute by distribution I think, substitution for given point coordinates the y-intercept and combined like terms. And rewrite the equation in y-intersect form. I think this is write, have a great day!
Answer:
Step-by-step explanation:
If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.
Moreover,
The equation of such ellipse is
Hence, the equation of the ellipse is
