Given that y varies inversely as x then:
y=k/x
where
k is the constant of proportionality given by:
k=yk
but
y=27 when x=2
thus
k=27×2=54
hence the function will be:
y=54x
The value of x when y is 9 will be:
9=54x
thus
x=9/54
x=1/6
Answer:
y -5 = (3/4)(x -6)
Step-by-step explanation:
Between the two points, the line has a rise of 6 and a run of 8. Thus, the slope is ...
... m = rise/run = 6/8 = 3/4
The point-slope form of the equation of a line with slope m through point (h, k) is ...
... y - k = m(x - h)
For point B, (h, k) = (6, 5), so filling in the values gives ...
... y - 5 = (3/4)(x - 6)
Answer:
Don't quit! You can work your way back up again! You should challenge yourself to make it back up!
Step-by-step explanation:
But I hope you're having a okay day/night and know you're worth it no matter what!
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.
Hello!
So to find the y-coordinate we need an equation for the line. The equation we can use is
y = mx + b
In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.
10 = 3(0) + b
10 = 0 + b
10 = b
So now that we've found b, we can use this in our equation
y = 4x + b
So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.
y = 4(2) + 10
y = 8 + 10
y = 18
18 is your y-coordinate
