Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = 
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y =
From the given equation; slope is 
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = 
Since y= 9 and x = -7;
So;
9 = 
+ C
9 = 
+ C
C = 9 - = 
Now,
y = x +
mulitply through by 5;
5y = -2x + 31
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
8
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
So we started off with the equation:
And we subtracted x from both sides to acquire:
Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:
Where m is the slope and b is the y-intercept.
If we rearrange our equation:
And put some parentheses:
We can see that this is indeed slope-intercept form.
And we can see that m is -1 and b is 2.
In other words, the slope is -1 and the y-intercept is 2.
Answer:
13.86
Step-by-step explanation:
formula for cont. compounding interest is
Amount = Principal * e^rt
in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.
sub in to get:
10000 = 5000e^0.05t
2 = e^0.05t
now convert to log form.
ln 2 = 0.05t
ln 2 / 0.05 = t
punch that into your calculator and you get 13.86 years
