Answer:
y = x + 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.
Then, plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-4 = 1(-9) + b
-4 = -9 + b
5 = b
Plug in the slope and b into y = mx + b:
y = 1x + 5
y = x + 5
So, the equation of the line is y = x + 5
Answer:
x = 7.3
Step-by-step explanation:
-2x + x-4 = 18
First, Combine Like Terms
-3x + (-4) = 18
Then, do Inverse Operations
-3x + -4 = 18
+ 4 +4
Cancel out the -4 +4 because it will equal zero and won't matter to the equation
-3x = 22
Do Inverse Operations again. In this case, you will divide.
-3x = 22
-3x/-3 = 22/-3
Cancel out the -3x/-3
22/-3 = x
7.3 = x
Answer:
<em>x=-11</em>
Step-by-step explanation:
<em>17+x/6=0</em>
<em>17+x=6</em>
<em>x=-11</em>
9514 1404 393
Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
