Answer:
7x^2 + 14x - 12
Step-by-step explanation:
Add like terms:
(4x + 8x - 5) + (3x2 + 6x - 7) becomes:
4x^2 + 8x - 5 or (grouping like terms in columns):
+ 3x^2 + 6x - 7
---------------------
7x^2 + 14x - 12
Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Answer:
8 is the slope . I got m=8 but I got confused where m came from .
Answer:
The area is 88.39 cm
Step-by-step explanation:
Here, we want to find the area of the semicircle given that the diameter of the semi circle is 15 cm
We start by getting the radius
Mathematically r = D/2
= 15/2 = 7.5
Area of semicircle is area of circle/2
= (pi * r^2)/2
= (22/7 * 7.5^2)/2 = 88.39 cm
Step-by-step explanation:
Use arc length:
s = rθ
where r is the radius and θ is the angle in radians.
a) First, convert the angle to radians (1 degree = 60 minutes).
77 ⁵⁰/₆₀° × (π radian / 180°) = 1.358 radians
s = rθ
s = (9.67 in) (1.358 rad)
s = 13.1 in
b) s = rθ
4 in = (9.67 in) θ
θ = 0.414 radians
θ = 23.7°
θ = 23° 42'
