The new points are:
P' (-3, 0)
F' (1, 2)
D' (0, -2.5)
The shape is being transformed with a dilation of a scale factor of 1/2. This means that we take the given points and multiply them by 1/2 to find the new points.
Look on the graph for the current points and multiply each one by 1/2. You will have the new points.
You need to find out how many problems Carl can do in a minute (unit rate), which is 20/55 or .36363636363. If you multiply it by 75 mins, you get 27.27, so the answer would be 27.
This one is D.
The y-intercept has to be below 20 and the slope has to be above 1.
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
That would be a 120 Square Feet.
Use the length of one side of the ceiling, which is 12, and then use the other side that is 10. The ten feet comes from the floor. think of it in 2-Dimensional