2x^2y 9xy^3
---------- * ---------------
3x 4y
3x^2y^3
= ---------------
2
answer
B.
3x^2 y^3/2
Answer:
If you find the reciprocal of the slope of a line and multiply it by -1, you get the slope of a perpendicular line.
Step-by-step explanation:
This is the perpendicular lines theorem.
Answer:
The dashed hypotenuse measures: 3,205.13 ft.
Step-by-step explanation:
. B (Plane is here)
. .
. .
A . . . . . . . C
BC = 500 ft
Angle (Ф) between AB and AC = 9 degrees
So,
Sin(Ф) = BC/AB
Since we need to know how much hypotenuse AB measures, Let's isolate it from the equation:
AB = BC / Sin (Ф)
AB = 500 ft. / Sin (9)
AB = 500 ft./ 0.156
AB = 3,205.13 ft.
Answer:
![b = 10](https://tex.z-dn.net/?f=b%20%3D%2010)
Step-by-step explanation:
![P(b) = -25b^3 + 750b^2 + 2500b](https://tex.z-dn.net/?f=P%28b%29%20%3D%20-25b%5E3%20%2B%20750b%5E2%20%2B%202500b)
This equation shows the income obtained based on the number of boats sold. We want to know the minimum number of boats that must be sold to obtain $ 75 000.
Then we must equalize the equation to 75 000 and clear b.
3 solutions will be obtained (because it is a polynomial of degree 3), and the lowest value will be taken.
![P(b) = 75000](https://tex.z-dn.net/?f=P%28b%29%20%3D%2075000)
![-25b^3 + 750b^2 + 2500b = 75000](https://tex.z-dn.net/?f=-25b%5E3%20%2B%20750b%5E2%20%2B%202500b%20%3D%2075000)
Now we need to solve the equation, for that we seek to factor the polynomial
![-25b^3 + 750b^2 + 2500b - 75000 = 0](https://tex.z-dn.net/?f=-25b%5E3%20%2B%20750b%5E2%20%2B%202500b%20-%2075000%20%3D%200)
we divide the equation by -25
We take common factor b
We take out common factor (b-30)
Finally the solutions are:
![b = 30\\\\b^2 -100 = 0\\\\b^2 = 100](https://tex.z-dn.net/?f=b%20%3D%2030%5C%5C%5C%5Cb%5E2%20-100%20%3D%200%5C%5C%5C%5Cb%5E2%20%3D%20100)
b = 10 and b = -10
We take the least positive solution (because you can not produce -10 boats)
Finally b = 10
The smallest number of boats that must be produced to make a profit of $ 75,000 is 10 boats.
Answer:
y = 1/3x + 4/7
Step-by-step explanation:
Slope Formula: ![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Slope-Intercept Formula: y = mx + b
Step 1: Find slope <em>m</em>
m = (1 - 2)/(-3 - 4)
m = -1/-7
m = 1/7
y = 1/7x + b
Step 2: Find y-intercept <em>b</em>
1 = 1/7(3) + b
1 = 3/7 + b
b = 4/7
Step 3: Write linear equation
y = 1/3x + 4/7