I must assume that you meant t=1 (not t=?1). If t=1, here's what we'd do:
1. Find the x and y values corresponding to t=1. They are:
x=(1)^7+1=2 and y=(1)^8+1=2. (Please note: write t^8 instead of t8, and write t^7 instead of t7.)
2. The slope of the tangent line to the graph is
dy/dt 8t^7+1
dy/dx = ---------- = ---------------- with 1 substituted for t
dx/dt 7t^6
Thus, dy/dx (at t=1) = 9/7
3. Now we have both a point (2,2) on the graph and the slope of the tangent line to the curve at that point: 9/7
4. The tangent line to the curve at (2,2) is found by using the point-slope formula:
y-y1 = m(x-x1)
which comes out to y-2 = 9/7(x-2), or 7y-14 = 9(x-2). You could, if you wished, simplify this result further (e. g., by solving for y in terms of x).
<span>a. only 2.5
By plugging in all three values, we will find that only 2.5 will create a correct solution of the choices.
</span>5.6+0.4(2.5) < 6(2.5) True
6.6 < 15
5.6+0.4(1) < 6(1) False
6 < 6
5.6+0.4(0.875) < 6(0.875) false
5.95<5.25
9.4 - 6 = 3.4
12.8 - 9.4 = 3.4
16.2 -12.8 = 3.4
hence the difference between the terms is common and = 3.4
Answer:
The last graph.
Step-by-step explanation:
In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle. Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio. Since it is proportional for all sides, this is a dilation.
Answer:
20??? wow I feel stupid I forgot how to do everything
