Answer:
y= -3/2x + 12
Step-by-step explanation:
When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).
Slope originally=2/3
New slope= -3/2
Next we will use the point slope equation
y-y1=m(x-x1)
y1=y value
m=slope
x1=x value
y--6= -3/2(x-12) Since you have y minus negative 6 you get to change it to y+6
y+6= -3/2(x-12) Now distribute your slope to both terms inside the parenthesis.
y+6= -3/2(x) -3/2(-12)
y+6= -3/2x +18 Finally subtract 6 from both sides.
-6 -6
y= -3/2x + 12
Each of these equations follows the standard form: y = mx + b
The variable "m" is the slope, and the variable "b" is the y-intercept.
Therefore, with the equation y = 8/3x - 5, the slope ("m") would equal 8/3 and the y-intercept ("b") would equal -5
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that 
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into 
. 
and 
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
Answer:
the daily fee =33 dollars
and the mileage charge.=0.35
Step-by-step explanation:
let d: be daily fee and m for mileage
cost of rental =(d*number of days)+ (m*number of mileage)
her first trip: 4d+440m=286
her second trip: 3d+190m=165.5
solve by addition and elimination
4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286
3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)
12d+1320m=858
12d+760m=662
subtract two equation to eliminate d
12d+1320m-12d-760m=858-662
560m=196
m=7/20=0.35 for on mileage
d: 4d+440m=286
4d=286-440(0.35)
d=(286-154)/4 33 dollars
