Answer:
So the model should represent either 
or
(its equivalent and simplified form.
Step-by-step explanation:
1) Originally the question wants to represent this quotient as tiles.
So,
We can still simplify it, but since we're dealing with 100 x 100 squares let's keep it this way
2) So the model should represent either or (its equivalent and simplified form.
Answer:
Put a dot on -1. Go down 5 and then 3 to the right. You will have two points which is enough to make a line. Grab a ruler and connect both of them. You have the line y=-5/3x-1 graphed
Step-by-step explanation:
Answer:
Expand the polynomial using the FOIL method.
x2-5x+6
Step-by-step explanation:
happy to help.
Answer:
<h2>
0.0526ft/min</h2>
Step-by-step explanation:
Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.
Volume of a cone V = πr²h/3
<em>If the diameter and the height are equal, then r = h</em>
V = πh²h/3
V = πh³/3
If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min
Using chain rule to get the expression for dV/dt;
dV/dt = dV/dh * dh/dt
From the formula above, dV/dh = 3πh²/3
dV/dh = πh²
dV/dt = πh²dh/dt
20 = πh²dh/dt
To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.
20 = π(11)²dh/dt
20 = 121πdh/dt
dh/dt = 20/121π
dh/dt = 20/380.133
dh/dt = 0.0526ft/min
This means that the height of the pile is increasing at 0.0526ft/min
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-1)(-1,12)
d = sqrt (-1-(-5)^2 + (12 - (-1)^2
d = sqrt (-1 + 5)^2 + (12 + 1)^2
d = sqrt (4^2) + (13^2)
d = sqrt (16 + 169)
d = sqrt 185
d = 13.60 <==
