The diagonals of the parallelogram are congruent.
Ok so we know that in ONE second, the dam releases 40000 gallons of water. In ONE minute, there are 60 seconds. Therefore...
1 second----------------40000 gallons
60 seconds--------------? ( this is what we're trying to find.
To get from 1 to 60, we multiplied by 60. Now we do it on the other side. 40000 times 60 is 2,400,000, so the rate in gallons per minute is 2,400,000 gallons per minute
Answer:
y-coordinate= 4
Step-by-step explanation:
y+2= -3( x-4) Solve for y
y= -3( x-4) -2
y= -3x +12 -2
y= -3x +10
Now in the given ( _, -2) x=-2
Substitute x= -2 to find the matching y value.
y= -3x +10
y= -3(2) +10
y= -6 +10
y=4
Given y+2= -3( x-4) the missing blank is (4, -2)
1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 3 = ⅓(6) + 5 -> 3 = 7, which is false.
- 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
- -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
- 3 = ⅓(-6) + 5 -> 3 = 3, which is true.
So, the answer is (4) (-6, 3)
2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:
- y - 5 = 0.75x - 1.5
- y = 0.75x + 3.5
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
- 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
- 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
- 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.
So, the answer is (1) (6, 8).
63$ your answer it’s pretty straight forward and simple