Answer:
divide 11 by 6 and you get 1.83333333
9/10=180/x
x=200
8/10=180/x
(180*10)/8
(180*5)/4
x= 225
225-200=25
Answer: 25
I THINK
Answer:
x = -5
Step-by-step explanation:
1/2(x-5)=2x+5
Multiply each side by 2
2(1/2(x-5))=2(2x+5)
x-5 = 4x+10
Subtract x from each side
x-5-x = 4x+10-x
-5 = 3x+10
Subtract 10 from each side
-5-10 = 3x+10-10
-15 =3x
Divide by 3
-15/3 = 3x/3
-5 =x
Answer:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
Step-by-step explanation:
The general equation of a parabola is:
y = ax² + bx + c
So we have to solve for a, b and c to get our equation with the 3 given points.
When x = 0 and y = 3 we have
3 = a(0)² + b(0) + c, this means c = 3
When x = 4 and y = 15
15 = a(4)² + b(4) + 3 we have
16a + 4b = 12 which is
4a + b = 3
When x = 5 and y = 33 we have
33 = a(5)² + b(5) + 3 we have
25a + 5b = 30 which gives
5a + b = 6.
We have two equations
4a + b = 3
5a + b = 6
Eliminating b we have
a = 3, substituting a = 3 in the first equation we have
4(3) + b = 3
12 + b = 3
b = –9
Our equation therefore is:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.