Answer:
x = 3 or -7
Step-by-step explanation:
Recall that for a quadratic equation in the form:
Ax² + Bx = C
we need to add (B/2)² to both sides of the equation to
In our case, we are given:
x² + 4x = 21
compared to the general equation above, B = 4, hence we need to add (4/2)² to both sides
x² + 4x = 21 (complete the square)
x² + 4x + (4/2)² = 21 + (4/2)²
x² + 4x + 2² = 21 + 2²
(x+ 2)² = 21 + 4
(x+ 2)² = 25 (take square root of both sides)
(x+2) = ±√25
(x+2) = ±5
hence
(x+2) = +5----> x = 5 - 2 = 3 (answer)
or
(x+2) = -5 ----> x = -5 - 2 = -7(answer)
Hey there!!
The total number of angles are 5 and the total sum of angles in a 5 sided shape is 540°
The angles given are :
107, 144, 130,x and 90
If we add them up, we get 540
Hence,
107+144+130+x+90 = 540
471 + x = 540
x = 69°
Hope my answer helps!!
The formula to use is
V = pi*r^2*h
V = volume of cylinder
pi = 3.14 approximately, but we'll leave it as pi
r = radius
h = height
In this problem,
r = 1 since the diameter is 2
h = 4
Plug those two values into the formula
V = pi*r^2*h
V = pi*1^2*4
V = pi*1*4
V = pi*4
V = 4pi
Answer: Choice C