Answer:
5/16
Step-by-step explanation:
Use the formula to find slope when 2 points are given.
m = rise/run
m = y2 - y1 / x2 - x1
m = 3 - 8 / -10 - 6
m = -5 / -16
m = 5/16
The slope of the line is 5/16.
Height covered by the plane=h= 500 feet
Distance covered by the plane along the ground=d= 2 mile
Now, convert the mile into feet,
1 mile = 5280 feet
2 mile = 10560 feet
Now, use the formula
h= d tanθ
tanθ= h/d
tanθ= 500/10560
tanθ= 25/528
Take the tan⁻¹ on both side,
θ= tan⁻¹(25/528)
θ =2.71°
A. 8/$12=21/$x then cross multiply.
B. 1/$1.5
X +x²= 132
x +x²-132= 132-132
x²+x -132 = 0
(x-11) (x+12) = 0
x-11 = 0 X+12=0
x-11+11 = 0+11 X+12-12=0-12
x =11 x= -12
Check
x +x²= 132 x +x²= 132
-12 +-12²= 132 11 +11²= 132
-12 + 144 = 132 11+ 121=132
132= 132 132=132
Since the problem says positive the answer is (11,121)
Distribute multiplication over addition and subtraction:
3x+ 12y+10x-5y
Combine like terms:
13 x +7y
