In order to write the formula for another line which is parallel, we need the slope (m). Parallel lines never in fact touch or intersect at any one point. They are either the same lines, occupying the same points, or different parallel lines, never occupying the same points, but sharing the same slope (m).
If we put out equation in slope-intercept format: y = mx+b, we can obtain our needed m.
12x+3y=24 ->> 3y = -12x+24
3y/3 = (-12x+24)/3 ->> y = -4x+8, therefore our m = -4
Now we can use our info to make the line in point-slope format: y-y1 = m (x-x1)
So, y-7 = -4 (x--2) or y-7 = -4 (x+2)
You can leave it like that or convert it:
y-7 = -4x -8 ->> y = -4x -8+7 ->> y = -4x-1
or even in this format: 4x+y=-1
The distance formula measures the length of a line segment or the distance between two points.
The hypotenuse is one of the two sides that forms the right angle of a triangle.
The altitude of a triangle is a line segment that extends from the vertex and is perpendicular to the side opposite the vertex.
Answer: x=4
Step-by-step explanation:
similar triangle so corresponding parts are similar

cross multiply
70 = 20x-10
80 = 20x
x = 4
Use the formula A= height*base/2
Answer:
the formula to use is R = 100I/ PT
Step-by-step explanation:
R = rate, I = interest = $1100, P = $ 1000, T= 5years