Answer:
X as an angle will be equal to 140°
Step-by-step explanation:
As AO = BO, AOB is an Isosceles triangle which has 2 equal angles OAB=OBA=20°, therefore BOA is equal to 140°
x is the angle opposite to BOA which will have the same angle measure.
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer:
39?
Step-by-step explanation:
Because the distance between U and Y is 39.
(I'm sorry if I was wrong)
Answer:
z = 17.5
Step-by-step explanation:
segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
= 
, substitute values
= 
( cross- multiply )
6z = 105 ( divide both sides by 6 )
z = 17.5
