The correct answer is C) y + 5 = 2(x + 3)
In order to find this, simply take the point and the slope and plug into the base form of point-slope form.
y - y1 = m(x - x1)
Use the slope for m and the point for (x1, y1)
y + 5 = 2(x + 3)
Answer:
30 minutes
Step-by-step explanation:
If we have 2 points, we can find the slope
m = (y2-y1) / (x2-x1)
(0,24) and (5,20)
m = (20-24)/(5-0)
= -4/5
We know the y intercept (where x=0) (0,24)
We can write an equation for the line in y =mx+b
y = -4/5x+24
We want y = 0 (when the diameter is 0)
0 = -4/5 x +24
Subtract 24 from each side
-24 = -4/5 x +24-24
-24 = -4/5 x
Multiply each side by -5/4 to get x alone
-5/4 * -24 = -5/4 * -4/5 x
30 = x
We can factor 
on the left hand side to get
A factored equation equals zero if and only if at least one of the factor equals zero. So, this equation equals zero if and only if
or
In the first case, we have
In the second case, we have
And so, the solutions are
Answer:
Step-by-step explanation:
Let that number be 
. We can build an equation, and solve for .
less than half of is 
.
more than is 
.
We are given that the two quantities are equal, so we have that 
.
Adding to both sides gives 
.
Multiplying both sides by gives 
.
Subtracting 
from both sides gives 
.
Multiplying both sides by 
gives 
.
So, the number is 
and we're done!
The check is left as an exercise to the reader.
