Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y =
(x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
X/-3 = 12 + x
x = -36 - 3x
4x = 36
x= = 9
The number is 9.
Answer: 394 cm3
Step-by-step explanation:
volume of cylinder - volume of 5 balls=extra volume
voc=πr2h=1181.09
pi=22/7
r=3.35
h= 5 x diameter of ball=33.5 (diameter = 2r)
vo5b=5(4/3πr3)=787.4
r=3.35
ev=voc-vo5b
=393.69
ROUND TO 394
Yes! Let me help you!
Here is the original equation, lets solve this step-by-step
(x + 2)/4 = 5
Now, lets find out how.
We must apply the inverse operation.
4/2 is the reciprocal, so lets multiply that to both sides.
4/2 = 2
5*4 = 20
4x + 8 = 20
-8 -8 Subtract 8 from both sides. (Inverse operation)
4x = 12
4x/4 = 12/4 Divide 4 by both sides (Inverse)
x = 12/4
x = 3 Simplified
Answer: x = 3
Answer:
the answer will be 50 I think