Answer:
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
= -5 = -2x + 15
Step-by-step explanation:
Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).
Using the slope intercept equation,
y = mx +c
m = slope = 1/2
For two lines to be perpendicular, the product of their slopes is -1
Let the slope of the other line be m2
m1×m2 =-1
1/2×m2 = -1
m2 = -1/(1/2) = -2
Slope of line = -2
For points (10, -5), x = 10, y =-5
-5 = -2× 10 +c
-5 = -20+ c
c = -5+20= 15
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
-5 = -2x + 15
The answer is <span>B. The cable company decrease the monthly charge by 20%</span>
Answer:
B. 4.5c + 4 = 24
Step-by-step explanation:
T = cx + py is the equation you are given.
T = 24 because it is the total amount of money you can spend.
x = 4.5 because each phone case costs 4.50 dollars
p = 2 because you bought 2 pop sockets.
y = 2 because each pop socket costs 2 dollars.
There is no c because you don't know the number of phone cases you bought.
Now, we have to substitute the values into the equation:
24 = 4.5x + 2(2)
24 = 4.5x + 4
4.5x + 4 = 24 <--- This is your answer
Hope this helps!
