Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.
<h3>What is the Secant-Tangent Theorem?</h3>
Considering the image given, the secant-tangent theorem states that:
DC² = (BC)(BA)
Given the following:
Substitute the values into the equation
30² = (17)(BA)
900/17 = BA
BA ≈ 52.9
Length of the diameter, BA is: A. 52.9
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Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
Answer:
The answer is (X +2)^2 = 4(Y -5).
Answer:
Step-by-step explanation:
This inequality is quite simple to solve.
Just multiply both sides by four and you have your answer:
Hope this helps!
Answer:
y=x-3/4
Step-by-step explanation:
y-int is b (y=mx+b) so the slope is m. all u have to do is plug in
