(y^2-y-12)/(y^2-2y-15) factor both the numerator and denominator...
(y^2-4y+3y-12)/(y^2-5y+3y-15)
(y(y-4)+3(y-4))/(y(y-5)+3(y-5))
((y-4)(y+3))/((y-5)(y+3)) so the (y+3) terms cancel leaving
(y-4)/(y-5)
Answer:
man/woman show the triangle
Answer : option C, 5x2 + 32x − 21
In the rectangle, the length = 5x - 3 and width = x + 7
We know the formula for area of rectangle = length * width
Area of rectangle = (5x-3)(x+7)
WE multiply it using FOIL method
F - First terms, 5x * x = 
O- Outer terms, 5x * 7 = 35x
I - Inner terms, -3 * x= -3x
L - Last terms, -3 * 7 = -21
Now we add all the terms
combine like terms
So area of a rectangle =
This is a very good question to know about. People who make tests really like it.
The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.
The difference in speeds is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???
t = d/r
t = 260/8
t = 32.5 hours.
Thats 32 1/2 hours.
Answer:
Okay well first we right down what we already know:
- volume of 2,355 cubic inches
- the height is 10 inches
Now we write down the equation for the volume of a cone:
V = πr²
lets plug in what we know into the equation
2,355 = πr²
now we simplify to solve for r
2,355 / 10/3 = 706.5 = πr²
706.5/π = r²= 224.89
now since its r² we take the square root of 224.89
r = 15 inches
for diameter we multiply 15 by 2
diameter = 30 inches
