For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y
Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m
Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18
Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that
Therefore, the scale factor of the given dilation is
Thus, the required scale factor of the dilation is 4.
Answer:
9
Step-by-step explanation:
Using the property that
a
m
a
n
=
a
m
−
n
, we have
3
4
2
2
=
3
4
−
2
=
3
2
=
9
Note that if we evaluated the numerator and denominator first, we would arrive at the same result:
3
4
3
2
=
81
9
=
9
Answer:
The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.
Step-by-step explanation:
