The 30-60-90 triangle's sides share a ratio of 1:√3:2 where the shortest side is the one facing opposite 30°.
This means that the longest side of aa 30-60-90 triangle is twice that of the shortest side. Now, given that the shortest side has a length of 15, then its longest side would be 2(15) = 30.
Thus, the hypotenuse is 30 units.
Hey there!
The distributive property is defined as:
a(b+c) = ab+ac.
Since a is being multiplied by b and c, it's a common factor. In this situation, our common factor is 6, as it goes into 6x and 42. So, we have:
6(7 + x)
Hope this helps!
30,000,000 + 7,000,000 + 100,000 + 20,000 + 3,000 + 700 + 40 + 5
It's useful to divide out the GCF first because it makes factoring easier as the coefficients are smaller requiring less steps.
Example where you don't factor GCF first...
4*-32 = -128
numerous factor pairs for 128 ... takes time to find the correct one
right factor pair is 16,-8
substitute for 8x
4x² + 16x - 8x - 32 = 0
group then factor
4x(x+4) - 8(x+4) = 0
group again
(4x-8)(x+4) = 0
Example of factoring GCF first
4x² + 8x - 32 = 0
4 is GCF
x² + 2x - 8 = 0
factor
(x+4)(x-2) = 0
Solving for x gives the same answer just less steps and simpler math when you factor GCF first.
Suppose we have a generic polynomial of the form:
![ax ^ 2 + bx + c ](https://tex.z-dn.net/?f=ax%20%5E%202%20%2B%20bx%20%2B%20c%0A)
To know how many roots the polynomial can have, the first thing you should do is observe the term of greatest exponent.
For this case, the term of greatest exponent is 2.
Therefore, the polynomial has 2 roots.
Answer:
You must observe the term of the polynomial with greater exponent.