All circles have the same angles, just different degrees
51(x - 21) = x + 58
<em><u>Distributive property</u></em>
51x - 1071 = x + 58
<em><u>Subtract x from both sides</u></em>
50x - 1071 = 58
<em><u>Add 1071 to both sides</u></em>
50x = 1129
<em><u>Divide both sides by 50</u></em>
x = 22.58
Answer: 256
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
<h3>Powers of i</h3>
The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
__
<em>Additional comment</em>
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
Answer:
p^2 + q^2 = 22/9.
Step-by-step explanation:
For a quadratic function ax^2 + bx + c if the zeroes are A and B then
A + B = -b/a and AB = c/a.
2x^2 - 7x + 3
Now p and q are the zeroes of the above function so
p + q = 7/3 and pq = 3/2.
Now p^2 + q^2 = (p + q)^2 - 2pq
= (7/3)^2 - 2* 3/2
= 49/9 - 3
= 49/4 - 27/9
= 22/9.
