Answer:
C) (1,3) and ( 4,0)
The intersecting points of two given curves are A( 1,3) and B(4,0)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Parabola y = x² – 6x + 8 and straight line y = -x +4
y = x² – 6x + 8 ...(i)
y = -x +4 ...(ii)
Equating (i) and (ii) equations , we get
x² – 6x + 8 = -x +4
⇒ x² – 6x + 8 +x - 4 = 0
⇒ x² – 5x + 4 = 0
⇒ x² – 4x -x + 4 = 0
⇒ x ( x-4) -1( x -4) =0
⇒ (x -1) ( x -4) =0
⇒ x =1 and x = 4
<u><em>Step(ii):-</em></u>
Put x = 1 in equation y = -x +4
y = -1 +4 = 3
The first point A( 1,3)
Put x = 4 in equation y = -x +4
y = -4+4 =0
The second point B(4,0)
<u><em>Final answer:</em></u>-
The intersecting points of two given curves are A( 1,3) and B(4,0)
Answer:
d
Step-by-step explanation:
Let m = number of miles.
Each mile costs $2.35, so m miles cost 2.35m.
The flat fee is $2.
The total cost is
2.35m + 2
He can spend no more than $47, so he can spend $47 or less,
2.35m + 2 <= 47
Answer: d
The angle of rotation of a polygon is found using the formula 360/n
Where n is the number of sides.
Shape 1: 360 / 10 = 36
Shape 2: 360 /4 = 90
Shape 3: 360 /5 = 72
Shape 4: 360/8 = 45
Shape 5: 360/3 = 120
Shape 6: circles = 1
Shape 7: 360 /6 = 60
Shape 8: 360 / 12 = 30
There are 3 shapes that are 72 or higher.
Answer:It's A becauseits the only answer that says less than, the others say more than and less than or equal to.
Step-by-step explanation: