First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.
The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.
The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.
I hope this helps!
Answer:
37
Step-by-step explanation:
You add them to see the new depth
Answer:the bottom is 24 and the left is -12
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The longest side of a triangle is always opposite the largest angle of a triangle.
If the smallest angle of the triangle is 20 degrees, then the shortest side is opposite to it. Using this information, we can form the equality
20/100(longest leg/biggest angle) = x/20(shortest leg/smallest angle)
We can cross multiply this to get 400 = 100x. From here it is a simple "find x" and the shortest side is 4 feet.