Answer:
x = 5
Step-by-step explanation:
2(x+6) = 22
2x+12 = 22
2x = 10
x = 5
Lines are neither perpendicular nor parallel.
Step-by-step explanation:
Step 1:
In equation 1, Y = 5X + 7
In equation 2, Y = -2X -5
Step 2:
Slope Intercept form Y =mX +c
Where m = Slope
Slope of line 1 = 5
Slope of line 2 = -2
m1 is not equal to m2. Hence it is not parallel.
m1 × m2 is not equal to -1. Hence they are not perpendicular.
Answer:
3
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

here [ a, b ] = [ 0, 2 ] and from the graph
f(b) = f(2) = 0
f(a) = f(0) = - 6, hence
average rate of change =
=
= 3
The equation of the line y = 5x + 1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 + 5
y = 5x -15
Therefore, the correct answer is the first option.
Answer:
SA = 680 units^2
V =1200 unit^3
Step-by-step explanation:
If the radius is 5 then the diameter is 2r = 2*5 = 10
The height would remain the same
Surface area of a prism is given by
SA = 2 (lw+lh+hw)
l =d = 10 w = d = 10 h = 12
SA = 2 ( 10*10 + 10 * 12+ 12* 10)
SA = 2( 100+120+120)
SA = 2(340)
SA = 680 units^2
V = l*w*h = 10*10*12 =1200 unit^3