The denominator of the second fraction can be factored as (a-2)(2a-7), then it becomes doable. You cancel the (2a-7) factors, and are left with:
Do note that you have erased the fact that a≠0 and a≠7/2, so you should always mention that.
Answer:
24 ft
Step-by-step explanation:
36 x 2/3= 24
It is dilated by a scale of 2/3 which means it will be smaller.
Sum of linear pair of angles = 180°
so
<EFG + <GFH = 180°
2n + 21 + 4n + 15 = 180°
6n + 36 = 180°
6n = 144
n = 24
<EFG = 2(24) + 21 = 69°
<GFH = 4n + 15 = 4(24) + 15 = 111°
Answer:
45%
Step-by-step explanation:
There are 5 A's out of a total of 11 letters which is 5/11. 5/11 as a decimal is 0.45 which, as a percentage, is 45%
Answer:
The expression 
represents the number 
rewritten in a+bi form.
Step-by-step explanation:
The value of 
is ![i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}](https://tex.z-dn.net/?f=i%3D%5Csqrt%7B-1%7D%5Btex%5D%20or%20%5Btex%5Di%5E%7B2%7D%3D-1%5B%5Ctex%5D.%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3E%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3ENow%20%5Btex%5Di%5E%7B4%7D)
in term of ![i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B4%7D%3Di%5E%7B2%7D%5Ctimes%20i%5E%7B2%7D)
Substituting the value,
Product of two negative numbers is always positive.
Now 
in term of ![i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B3%7D%3Di%5E%7B2%7D%5Ctimes%20i)
Substituting the value,
Product of one negative and one positive numbers is always negative.
Now 
can be written as follows,
Applying radical multiplication rule,
Now, 
and 
Now substituting the above values in given expression,
Simplifying,
Collecting similar terms,
Combining similar terms,
The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
