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:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
Answer:
it could either be 8C or -2C
Step-by-step explanation:
For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be
. Thus, given f(x), we have
Answer: f(x) = 6x + 4
The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is 
Explanation :
the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Apply section formula to find coordinates of point Q
Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)
Substitute all the values inside the formula
The coordinates of point Q is
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