Answer:
y - y1 = m(x - x1)
Step-by-step explanation:
The point slope form equation is [ y - y1 = m(x - x1) ]
(x1, y1) is any given point on the line.
m is the slope.
To solve this you would need these things:
- Slope (y2-y1/x2-x1)
- Y-intercept (y = mx + b)
Best of Luck!
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

We can set the length of a leg as an unknown variable
.

Remember that it is the whole
term being squared, meaning that it'll simplify to
, not
.




This means we can plug back in to find the sides.
The hypotenuse would be
, or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
Answer:
21.8
Step-by-step explanation:
hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.
area of circles are πr^2, so in this situation
π4^2 which is 16π.
with this, the semicircle which is half a circle would give us
16π/2 which is 8π.
but then, we have two semicircles removed so we would have as an answer:
(9*8)-8π+8π
72-16π
then you would have to round so
16π is around 50.2
so 72-50.2 is 21.8
i hope this helped you <33
Let <span>the production level that will yield a maximum profit for the manufacturer be x.
</span>The unit price of the disc is given by p = -0.0006x^2 + 65.
The revenue from selling x discs (R(x)) = px = -0.0006x^3 + 65x
Profit = Revenue - Cost = -0.0006x^3 + 65x - (-0.002x^2 + 13x + 4000) = -0.0006x^3 + 0.002x^2 + 52x - 4000
For maximum profit, dP/dx = 0
-0.0018x^2 + 0.004x + 52 = 0
Using quadratic formular, x = 171
Therefore, <span>the production level that will yield a maximum profit for the manufacturer is 171 discs.</span>