Answer:
49b² - 36
Step-by-step explanation:
Find the factors of 49 & 36:
49 = 1, 7, 49
36 = 1, 2, 6, 18, 36
As you can tell, there are no common factors (1 does not count), therefore, the expression given is already in most factored form.
49b² - 36 is your answer.
~
Answer:19 to the 5th power
Step-by-step explanation:
U got to count all the zeros and that will be the number u put on top plus 19
Answer:
Translation
Step-by-step explanation:
Vertical and horizontal translation
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
![\angle EDF = y](https://tex.z-dn.net/?f=%5Cangle%20EDF%20%3D%20y)
![\text{External }\angle DFG = 90 +\dfrac{y}{2}](https://tex.z-dn.net/?f=%5Ctext%7BExternal%20%7D%5Cangle%20DFG%20%3D%2090%20%2B%5Cdfrac%7By%7D%7B2%7D)
Let us try to find out
and
. After that we will compare them.
<u>Finding </u>
<u>:</u>
Side EG is a straight line so ![\angle GFE = 180](https://tex.z-dn.net/?f=%5Cangle%20GFE%20%3D%20180)
is sum of internal
and external ![\angle DFG](https://tex.z-dn.net/?f=%5Cangle%20DFG)
<u>Finding </u>
<u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external
= ![\angle E + \angle EDF](https://tex.z-dn.net/?f=%5Cangle%20E%20%2B%20%5Cangle%20EDF)
![\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)](https://tex.z-dn.net/?f=%5CRightarrow%2090%2B%5Cdfrac%7By%7D%7B2%7D%20%3D%20%5Cangle%20E%20%2B%20y%5C%5C%5CRightarrow%20%5Cangle%20E%20%3D%2090%2B%5Cdfrac%7By%7D%7B2%7D%20%20-y%5C%5C%5CRightarrow%20%5Cangle%20E%20%3D%2090-%5Cdfrac%7By%7D%7B2%7D%20.......%20%282%29)
Comparing equations (1) and (2):
It can be clearly seen that:
![\angle DFE = \angle E =90-\dfrac{y}{2}](https://tex.z-dn.net/?f=%5Cangle%20DFE%20%3D%20%5Cangle%20E%20%3D90-%5Cdfrac%7By%7D%7B2%7D)
The two angles of
are equal hence
is isosceles.