Answer:
1) 378.1 in²
2) 8.4 m²
Step-by-step explanation:
Area of sector= 
1) Area of sector

2) Area of sector

<u>Given</u>:
Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.
The length of TU is (y - 2).
The length of UV is 8.
The length of SW is (y + 4)
The length of WV is 6.
We need to determine the length of line segment SV.
<u>Value of y:</u>
The value of y can be determined using the intersecting secant theorem.
Applying, the theorem, we get;

Substituting the values, we have;






Thus, the value of y is 6.
<u>Length of SV:</u>
The length of SV is given by




Thus, the length of SV is 16 units.
Hence, Option D is the correct answer.
1) is ABC and XYZ
2) is ABC and RQP I’m not sure about this one though
Answer:
31.25
Step-by-step explanation:
The general form of a complete square would be (x + a)^2 + b
Given an equation of X^2 + 15X + 25 = 0,
the idea is to reduce it into the form if (X + C)^2
which can be expanded into X^2 + 2XC + C^2
In this case 15 will be our 2C So our c will be 7.5.
Substituting in these numbers,
We have X^2 + 15X + (7.5)^2 = 0
However our original equation has 25 for its C^2, thus
we need to add 31.25 in order to get (7.5)^2
<u>FYI</u>
The final completed form will be (X + 7.5)^2 - 31.25