Y = -10x + 1...slope here is -10. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign. So our perpendicular line will need a slope of 1/10.
y = mx + b
slope(m) = 1/10
(5,7)....x = 5 and y = 7
now sub and find b, the y int
7 = 1/10(5) + b
7 = 1/2 + b
7 - 1/2 = b
14/2 - 1/2 = b
13/2 = b
so ur perpendicular line going thru (5,7) is y = 1/10x + 13/2
5 x 6 is greater than 25.
( Hope this helps!! ) <3
Sin ( theta ) = opposite / hypotenuse
sin ( 37° ) = 13 / x
let h be the number of hours then
A → C = 150h + 250 ( where C is charge )
B → C = 175h + 150
for 26 hours
A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150
B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700
Attorney A is cheaper for 26 hours, thus better deal
Equate the 2 equations to find hours they charge the same
175h + 150 = 150h + 250 ( subtract 150h from both sides )
25h + 150 = 250 ( subtract 150 from both sides )
25h = 100 ( divide both sides by 25 )
h = 4 ← number of hours when charges for both are equal
Thus Attorney A becomes a better deal at 5 hours
