Answer:
7) x= 5, 8) x= 6, 9) x= 7
Step-by-step explanation:
As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.
7) ∴ 
opening parethesis and distributing 3 with x and 3.
⇒ 
subtracting 9 on both side.
⇒ 
cross multiplying
∴ x= 5.
8) 
Opening parethesis and distributing 4 with x and 4.
⇒ 
⇒ 
subtracting 16 on both side.
⇒ 
cross multiplying
∴ x= 6.
9) 
opening parethesis and distributing 5 with x and 5.
⇒ 
subtracting 25 on both side.
⇒ 
cross multiplying
∴ x= 7.
Answer:
x^2 (12 x - 5)
Step-by-step explanation:
Simplify the following:
12 x^3 + (2 x x)/2 - 6 x^2
(2 x x)/2 = 2/2×x x = x x:
12 x^3 + x x - 6 x^2
x x = x^2:
12 x^3 + x^2 - 6 x^2
x^2 - 6 x^2 = -5 x^2:
12 x^3 + -5 x^2
Factor x^2 out of 12 x^3 - 5 x^2:
Answer: x^2 (12 x - 5)
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42