Answer:
N' (-8,9) K' (-8,3) L' (-2,3) M' (-2,9)
Step-by-step explanation:
To translate the square 3 units to the left you would subtract 3 from the x-coordinates of the points shown.
A stretch by a factor of 2 for the exponential growth function f(x)= a(9/4)^x occurs when a=????
2 answers:
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Given:
The bases of a trapezoid lie on the lines
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
On comparing with slope intercept form, we get
On comparing with slope intercept form, we get
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
Therefore, the equation of line that contains the midsegment of the trapezoid is .
y = slope (x) + y - intercept
To find the slope we need to find out how much the x's and y's increase or decrease...
To find the y - intercept if any, simply look for coordinates ( 0 , y ) or 0 and a #.
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In this case, as time passes, the water level decreases therefore we have a negative slope.
Time is our x and amount (ft) is our y.
On the x side it increases by 2
On the y side it decreases by 10
Now do y over x ==> 10 over 2 and get 5 ==> m
-5 is our slope and 50 is our y - intercept
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The "rate of change" is another word for slope.
Well, slope is - 5ft is our slope.
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey