Answer:
9/4
Step-by-step explanation:
When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.
Like if you divide 4 by 2, you can easily express that has 4 * 1/2.
In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1
The result of 3/4 * 3/1 = 9 / 4
Which you cannot simplify because 9 and 4 don't have any common factors (other than 1). The only other way to express it would be 3²/2² or (3/2)²
Answer:
$1.50
Step-by-step explanation:
If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money
Hope this helps :)
Answer:
Step-by-step explanation:
I knew the answer sir 112 but hmmm I'm only 7 g
y = −2x + 1
4x + 2y = −1
Replace Y in the second equation with the value of Y in the first one.
4x + 2(-2x +1) = -1
Distributive Property:
4x + -4x + 2 = -1
Combine like terms:
2 = -1 which is not true, so there are no solutions.
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y