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:
C.
Step-by-step explanation:
1. 1/8 = 0.125 You get this by dividing 1 by 8.
11. the square root of 25/4 is 5/2, or 2.5. You get this by square rooting the numerator and denominator of the fraction.
13. the cube root of 8 is 2, because 2 x 2 x 2 = 8.
Hope this helps
brainliest pls
sorry I didn't do them all cause I have to go
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
