From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
Answer:
7 stickers on each page.
Step-by-step explanation:
We start with 62 stickers.
Then we give 6 to the little sister, so we subtract 6 from 62.
62-6=56
Then we divide the remaining 56 stickers evenly across 8 pages.
56/8=7
7 stickers on each page.
Answer:
1. 216.8 N
2.328.635 N
3. 405.153 N
4. 580.752 N
5. 765.18 N
Step-by-step explanation:
1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}
2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}
3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}
4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}
5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}
(Answer)
Answer:
Step-by-step explanation:
Since you have
+
5
y
in one equation and
−
5
y
in the other equation, you can add both equations to cancel out the y terms and solve for x.
−
6
x
+
5
x
=
−
x
5
y
−
5
y
=
0
1
+
10
=
11
therefore
−
x
=
11
multiplying both sides by -1:
x
=
−
11
plugging this back into the first equation:
−
6
(
−
11
)
+
5
y
=
1
66
+
5
y
=
1
subtracting 66 from both sides:
5
y
=
−
65
divide both sides by 5:
y
=
−
13
putting the x-values and y-values into one point gives:
(
−
11
,
−
13
)
as the solution
Answer:
27
Step-by-step explanation:
3v+6=5v-8
3v+14=5v
14=2v
v=7
3*7+6
21+6
27
u were right on 7 u just need to plug it into the equation