(6,5)---------------(1,2)-------------------(x2,y2)
6+x2/2=1
5+y2/2=2
6+x2=2
x2=-4
y2=4-5
y2=-1
(-4,-1)
answer is C
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.
A line of symmetry has equation x=-3.5 that is x+3.5=0.
Use formula for the distance from point
to the line AX+By+C=0:

Thus,

Answer: the distance is 5.5 units.
Answer:
≈ 47.2 m
Step-by-step explanation:
let the height from the sea to the base of lighthouse be h₁
let the height from the sea to the top of the lighthouse be h₂
using the tangent ratio in the right triangle
tan55.1° =
=
( multiply both sides by 610 )
h₁ = 610 tan55.1°
tan56.5° =
( multiply both sides by 610 )
h₂ = 610 tan56.5°
then
height of lighthouse = h₂ - h₁
= 610 tan56.5° - 610 tan55.1°
= 610(tan56.5° - tan55.1° )
≈ 47.2 m ( to the nearest tenth )
Answer:
14π
Step-by-step explanation:
C = 2πr
D=2r
D=14
14=2r
r=7
C=2π(7)
C=14π or 43.98