Answer:
y = 2x - 5
Step-by-step explanation:
The slope for a parallel line is the same as the slope in the given equation. Therefore the slope of the new line will be 2 m= 2
use that slope and (2, -1) to find b
-1 = 2(2) + b
-1 = 4 + b
-5 = b
Plug m and b into y = mx + b
y = 2x - 5
Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
Answer:C
Step-by-step explanation:
Answer:
Given: f(x) = x + 5
If this function changes to $8 per car then
The function: f(x) = x + 8
The concept of equation of straight line: y= mx + b
where b represents the y-intercept
In the equation above, the y-intercept changed from 5 to 8.
The graph will shift 3 units up
F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)
