24x^2 +25x - 47 53
----------------------- = -8x -3 - ---------------
ax-2 ax-2
add 53/ax-2 to each side
24x^2 +25x - 47+53
----------------------- = -8x -3
ax-2
24x^2 +25x +6
----------------------- = -8x -3
ax-2
multiply each side by ax-2
24x^2 +25x +6 = (ax-2) (-8x-3)
multiply out the right hand side
24x^2 +25x +6 = -8ax^2 +16x-3ax +6
24 = -8a 25 = 16 -3a
a = -3 9 = -3a
a = -3
Choice B
Answer:
-7/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-8)/(6-1)
m=-7/5
Answer:
75°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let x be the sixth angle, then sum and equate to 720°
150 + 100 + 80 + 165 + 150 + x = 720
645 + x = 720 ( subtract 645 from both sides )
x = 75
The sixth interior angle is 75°
Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue = 
x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
