8 + 3b= -13
-8. -8
3b= -21
Divide by 3
B= -7
Find the minimum point on the parabola, and take the x component of the coordinate. Then, put that number into this equation: x = (whatever the number was) so in this case the axis (or line) of symmetry is x = 1
0.5 will be rounded to 1.0
1.2 will be rounded to 1.0
1.7 will be rounded to 2.0
3.4 will be rounded to 3.0
Answer:
The swimmer must move in the direction 338.2°
Step-by-step explanation:
Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular, the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.
The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph
So, θ = tan⁻¹(-1.2 mph/+ 3mph)
θ = tan⁻¹(-1.2/3)
θ = tan⁻¹(-0.4)
θ = -21.8°
θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)
θ = 338.2°
So, <u>the swimmer must move in the direction 338.2°</u>.
F=length of first piece=x; S=length of second piece=2x
T=length of third piece=3x
.
F+S+T=24 inches
x+2x+3x=24 inches
6x=24in
F=x=4in
ANSWER 1: The length of the first piece is 4 inches.
.
S=2x=2(4in)=8in
ANSWER 2: The length of the second piece is 8 inches.
.
T=3x=3(4in)=12 inches.
ANSWER 3: The length of the third piece is 12 inches.
.
CHECK:
F+S+T=24in
4in+8in+12in=24in
24in=24in
