Answer:
option A. y = 1/2 x
Step-by-step explanation:
given the equation:
y - 9 = 1/2 ( x - 3 )
here the gradient is 1/2
if passes parallel the gradient is same.
the line pass through ( -2 , -1 )
so,
y - y1 = m( x - x1 )
y - - 1 = 1/2 ( x - -2 )
y + 1 = x/2 + 1
y = 1/2 x
Therefore option A is correct.
Answer:
<em>The equation of the parallel line to the given equation is </em>
<em>3 x-4 y = -4 and </em>
<em>The equation of the parallel line to the given equation is </em>

<em></em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )
<em>The equation of the parallel line to the given equation is </em>
<em>3 x - 4 y = k </em>
it is passes through the point ( -4 , -2)
3 (-4) - 4 ( -2) = k
-12 +8 = k
k = -4
<em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>Dividing '4' on both sides , we get</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<u><em>Conclusion</em></u>:-
∴ <em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>and </em>
<em>The equation of the parallel line to the given equation is </em>

<em> </em>
Answer:
108 in²
Step-by-step explanation:
Given that the legs of a right triangle are 12" and 18".
Be cause it is a right triangle (with 90 degrees between the legs), we can arbitrarily assign one of these to be the height and the other value automatically becomes the base.
Let 12" be height and 18" be base
area = 1/2 x height x base
= 1/2 x 12 x 18
= 108 in²
Answer:
301.44 inches
Step-by-step explanation:
The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.
You want to find the distance that one rotation will take you, so you need the wheel's circumference.
Circumference = 2πr
2 x 3.14 x 16 = 100.48
100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.
100.48 x 3 = 301.44