A line perpendicular to y = (1/4)x+3 will have slope -4.
<span>This is because when you multiply the slopes of the original line and the perpendicular line, you get -1. (1/4)(-4)=-1 </span>
<span>The equation of the perpendicular line is </span>
<span>y=-4x+b </span>
<span>This line pases through (0,6) </span>
<span>6=-4(0)+b </span>
<span>b=6 </span>
<span>y=-4x+6 is the line </span>
t = 
multiply both sides by 6rt
6crt = 1 ( divide both sides by 6ct to obtain r )
t = 
Answer:
Only option B is correct, i.e. all real values of x except x = 2.
Step-by-step explanation:
Given the functions are C(x) = 5/(x-2) and D(x) = (x+3)
Finding (C·D)(x) :-
(C·D)(x) = C(x) * D(x)
(C·D)(x) = 5/(x-2) * (x+3)
(C·D)(x) = 5(x+3) / (x-2)
(C·D)(x) = (5x+15) / (x-2)
Let y(x) = (C·D)(x) = (5x+15) / (x-2)
According to definition of functions, the rational functions are defined for all Real values except the one at which denominator is zero.
It means domain will be all Real values except (x-2)≠0 or x≠2.
Hence, only option B is correct, i.e. all real values of x except x = 2.
Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
ok that is correct because you start with 25 and then add 9 each week so 25+9w
Step-by-step explanation: