Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote 
as 
instead of 
.
The square root of 
is 
and so she could have further simplified.
The correct simplification is shown below:
Answer:
if you want the base and the height you have to give me number or do you want the formula ?
Answer:
k = -14
Step-by-step explanation:
We should cross-multiply
9/(k - 7) = 6 / k
9*k = 6 * (k - 7)
9k = 6k - 42
9k - 6k = -42
3k = -42
k = -14
Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:
(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9
Answer:
The proof is below
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of a parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
