The first picture is for number 1 and the second one for number 2.
Answer:
A) 9
Step-by-step explanation:
R=7x+17
S=4x-6
Q=180-110=70
- 4x-6+7x+17+70=180
- 11x+81=190
- 11x=180-81
- 11x=99
- x=99/11
- x=9
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that 
and as 
, so, we can write 
Therefore, the if 
then (Answer)
Now, the period of 
is 2π, hence the period of 
is also 2π. (Answer)
Again. 
, hence, the horizontal shift of is 0. (Answer)
