6600 /minute so...
396,000 /hour
3/4…
To simplify a fraction, you have to find a similar factor between the numerator and denominator. In this case, it would be 4.
You would divide both numbers by this common factor and create a new fraction.
So… 9/3=3, and 12/3=4. When combined, the answer becomes 3/4.
Answer:
- 3) y = (7/2)x -12
- 4) y = 3x -5
- 7) y = (1/3)x +4/3
- 8) y = (-4/3)x +8/3
Step-by-step explanation:
In every case, you can ...
- replace any constant in the equation by 0
- for point (h, k), replace x with (x-h) and y with (y-k), then simplify
- solve for y (add the opposite of the y-term; divide by the y-coefficient)
3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0
... y = (7/2)x -12
4) (y+2) = 3(x-1)
... y = 3x -5
7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0
... y = (1/3)x +4/3
8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0
... y = (-4/3)x +8/3
Answer:B
Step-by-step explanation:
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:
