Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
Answer:
Conclusion : Trinomial can not be factored
Step-by-step explanation:
The first thing we are going to do for this case is to define the following variable:
x = number of trees.
We then have that the equation that represents the problem is given by:
y = 50 (x-1) + 20
Rewriting:
y = 50x - 50 + 20
y = 50x - 30
Substituting for y = 390 we have:
390 = 50x - 30
We clear x:
x = (390 + 30) / (50)
x = 8.4
nearest whole integer
x = 8
Answer:
will be planted along one block about 8 trees.
We know the y intercept is 16 because y=16 when x=0.
Find slope by calculating change in y over change in x.
(12-16)/(2-0)
-4/2
-2
Plug both values into slope intercept form. y=mx+b where m is slope and b is the y intercept.
Final answer: y=-2x+16
Answer:
A)
Step-by-step explanation: