They’re similar bc all sides have the same scale factor
Answer:
a = -6/5
Step-by-step explanation:
For the graphs to be parallel the graphs should have same slope(m)
So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,
This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

so if we compare it with y = mx + b the coefficient of x is m and hence
m= -2/5 now solving for equation 2

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

we equation both the slope to each other to find the value of a like this,

so the value of a equals
a= -6/5
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
C = 2πr
Step-by-step explanation:
We know that, the perimeter of a figure is equal to the sum of all sides.
A circle having no sides.
The perimeter of a circle = The circumference of the circle
The formula for the circumference of the circle is given by :
C = 2πr
Where
r is the radius of the circle
Hence, this is the required solution.