Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
Answer:
24
Step-by-step explanation:
Answer:
x = 0
y = 5
z = -5.
Step-by-step explanation:
X-5y-z=-20
-2x-y-6z=25
-x-4y-z=-15
Add equation 1 and 3:
-9y - 2z = -35 .......... A
Multiply the first equation by 2:
2x - 10y - 2z = -40
Now add this to equation 2:
-11y -8z = -15.............B
Now multiply equation A by -4:
36y + 8x = 140.........C
Add equations B and C:
25y = 125
y = 5.
Substitute for y in equation A:
-9*5 - 2z = -35
2z = -45 + 35 = - 10
z = -5.
Now find x by substituting for y and z in the first equation:
x - 5(5) - (-5) = -20
x - 20 = -20
x = 0.
We know, Force = mass × acceleration
( i ) :
Given,
Force = 25 units
Mass = 10 units
Acceleration = ?
Solution,
Applying the formula of force,
➡ Force = mass × Acceleration
⏩ 25 = 10 × acceleration
⏩ 25 / 10 =acceleration
⏩ 2.5 units = acceleration
( ii ) :
Given,
Force = 25 units
Acceleration = 5 units
Mass =?
Solution :
Applying formula,
➡ Force = mass × acceleration
⏩ 25 = 5 × mass
⏩ 25 / 5 = mass
⏩ 5 units = mass