Answer:
The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is: 
Step-by-step explanation:
We need to determine the value of c that will result in a perfect square trinomial.
Perfect square trinomial are of form: 
Now, the equation given is:
Looking at the term 6w, we can write it as 2(w)(3)
We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2
So, we will be adding (3)^2 on both sides
So, The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is:
Answer:
Red = 10 cm, blue = 14 cm
Step-by-step explanation:
<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>
<u>Then we have:</u>
<u>Multiply the first equation by 3 and the second one by 2:</u>
<u>Add the equations to eliminate one of variables:</u>
<u>Find the value of b:</u>
- 3*10 -2b = 2
- 30 - 2 = 2b
- 2b = 28
- b = 14 cm
Answer:
18.9
Step-by-step explanation:
Start with parentheses.
4/5 + 3/5 = 7/5
Simplify 7/5, 7/5 = 1 2/5
Next numbers.
3.5 x 5 = 17.5
Add.
17.5 + 1 2/5 = 18.9
Answer:
a(n) = 9·6^(n-1)
Step-by-step explanation:
The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...
a(n) = a(1)·r^(n-1)
Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...
a(n) = 9·6^(n-1)
