Okay, so first of all, if the trapezoid was translated right 4,
Then all the (x)'s should be 4 more than the original value
For example: (2,-3) <span>→ (6,-3)
Now since the Trapezoid was translated down 3,
Then all the (y)'s should be 3 less than the original value
For example: (2,-3) </span><span>→ (2,-6)
Now do this to all the Vertices
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Final Answer: <span>
Option 2</span>
Answer:
0.28cm/min
Step-by-step explanation:
Given the horizontal trough whose ends are isosceles trapezoid
Volume of the Trough =Base Area X Height
=Area of the Trapezoid X Height of the Trough (H)
The length of the base of the trough is constant but as water leaves the trough, the length of the top of the trough at any height h is 4+2x (See the Diagram)
The Volume of water in the trough at any time
=8h(8+2x)
V=64h+16hx
We are not given a value for x, however we can express x in terms of h from Figure 3 using Similar Triangles
x/h=1/4
4x=h
x=h/4
Substituting x=h/4 into the Volume, V
h=3m,
dV/dt=25cm/min=0.25 m/min
=0.002841m/min =0.28cm/min
The rate is the water being drawn from the trough is 0.28cm/min.
Answer:
<em>Rate of Change = 4</em>
Step-by-step explanation:
The starting point (x=0) is (0, -2)
The ending point (x=2) is (2, 6)
The distance between the two points in rise over run terms is 8/2
Answer:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Step-by-step explanation:
The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).
Characteristics of the Linear Function: Domain: the set of all real numbers.
Range: the set of all real numbers.
Answer:
7 ≤ v ≤ 13
Step-by-step explanation:
Length of video required must be within 10 minutes
Submitted length of video must be with 3 minutes of the 10 minutes video
To create an absolute value inequality :
Let v = the range of value for which the required video will be :
|v - 10| = ±3
Lower boundary :
|v - 10| = - 3
v = - 3 + 10
v = 7
Upper boundary :
|v - 10| = 3
v = 3 + 10
v = 13
Hence,
7 ≤ v ≤ 13
