Answer:
yes, they are parallel because their slopes are the same
Step-by-step explanation:
if you put each equation into slope-intercept form and compare slopes you can see whether they are parallel or not
2x + y = 14
y = -2x + 14
slope = -2
2y + 4x = 14
2y = -4x + 14
slope = -4/2, which simplifies to be -2
Cos x = 1/√10
sin x = √( 1 - 1 /10 ) = √9/10 = - 3/√10 ( because x is in Q IV )
cot 2 x = cos 2 x/sin 2x = ( cos²x - sin²x)/ (2 sinx cosx ) =
= ( 1/10 - 3/10 )/(2 * (-3/√10)*1/√10)= (- 8/10 ) / (-6/10 ) = 8/6 = 4/3
Answer:
<em>y = -2/3 x + 1</em>
Step-by-step explanation:
The line y = -2/3 x + 5 is in y = mx + b form, where m is the slope, so the slope of the given line is -2/3. Parallel lines have equal slopes, so the equation you are looking for also has slope -2/3.
The parallel line has equation
y = -2/3 x + b
We need to find b.
Since we are given a point, we substitute x and y with the x- and y-coordinates of the given point and solve for b. x = 6, and y = -3.
y = -2/3 x + b
-3 = (-2/3)(6) + b
-3 = -4 + b
1 = b
Now that we know b = 1, we can write the equation.
y = -2/3 x + b
y = -2/3 x + 1
Answer:
Step-by-step explanation:
The formula of an area of a circle:
The formula of a perimeter of a circle:
r - radius
We have the area of a circle
Substitute:
<em>divdie both sides by π</em>
Calculate the perimeter:
