Step-by-step explanation:
a= 16x+3-14x+15
combine like terms, 16x-14x= 2x
so,
2x+3+15,
15+3=18
18=2x, divide 18 by 2
x=9
b) *open the parenthesis* -1/6 *24x = -4x
-1/6*60 = -10
-4x- (-10)= -4x+10
-4x+10+2x= -4x+2x= -2x
-2x=10 = 2x=-10 = x=-5
Cheers!
Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
Answer:
250 ft
Step-by-step explanation:
circumference of circle 'C' is defined as
C = 2πr
250π = 2πr
r = 250π/2π
r= 125
d = 2r = 2×125 = 250
.
diameter of the given circle is 250 ft
The tangent of an angle is the ratio of the opposite side to the adjacent side.
... tan(45°) = (height above eye level)/(20 m)
... height above eye level = (20 m)·tan(45°) = (20 m)·1 = 20 m
_____
Eye level is 1.7 m above ground, so the height of the flagpole above ground is
... height of pole = height above eye level + height of eye level
... height of pole = 20 m + 1.7 m = 21.7 m