This is the eqn of a str line. <span>y+4=12/7(x-1) would be clearer if written as
</span><span>y+4=(12/7)(x-1). y+4 = (12/7)x - 12/7.
Multiply all terms by 7 to remove the fractions: 7(y+4) = 12x - 12.
Complete the multiplication: 7y + 28 = 12x - 12.
Arrange the x and y terms on the left side and the constants on the right:
-12x + 7y = -40. This is standard form. Some people might disagree and say that -12x + 7y + 40 is standard form. They are equivalent.
</span>
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):
Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:
Subtract 4 from both sides:
Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:
Therefore, the equation of the parabola is:
ANSWER:
Answer:
You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D
Step-by-step explanation:
1. 5x + 4x - 6x = 24
9x - 6x = 24
3x = 24
24/3 = 8
<u><em>x = 8</em></u>
2. 8y + 5 - 4y + 1 = 46
8y - 4y = 4y
5 + 1 = 6
4y + 6 = 46
4y = 46 - 6
4y = 40
40/4 = 10
<u><em>y = 10</em></u>
<u><em></em></u>
3. 33 = 5 ( x + 8 ) + 3
33 = 5x + 40 + 3 <em>(because we distributed)</em>
33 = 5x + 43
5x + 43 = 33<em> (just rewriting it to make it easier)</em>
5x = 33 - 43
5x = -10
-10/5 = -2
<em><u>so x = - 2</u></em>
4. 2m + 3 ( m - 8 ) = 1
2m + 3m - 24 = 1
<em>we got 3m - 24 because we distributed the 3</em>
5m - 24 = 1
5m = 25
25/5 = 5
<em><u>m = 5</u></em>
<em><u /></em>
5. p + p - 2p + 4p = - 48
2p - 2p + 4p = - 48
4p = - 48
- 48 / 4 = - 12
<u><em>p = - 12</em></u>
<u><em></em></u>
6. 2 ( y + 5 ) + 3y = 25
2y + 10 + 3y = 25
5y + 10 = 25
5y = 25 - 10
5y = 15
15/5 = 3
<u><em>y = 3</em></u>
7. 1/4 h + 3/4 h + 1/2 h + 2 = 5
1/4 h + 3/4 h + 1/2 = 3/2 h
3/2 h + 2 = 5
3/2 h = 5 - 2
3/2 h = 3
<u><em>h = 2</em></u>
<u><em></em></u>
8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )
60 = 4k + 12 + 2k - 6
4k + 12 + 2k - 6 = 60
6k + 6 = 60
6k = 60 - 6
6k = 54
<u><em>k = 9 </em></u>
<u><em></em></u>
9. - 2 ( d + 1.4 ) - 1.8 = 20.6
-2d + - 2.8 - 1.8 = 20.6
-2d - 2.8 = 22.4
-2d = 25.2
<u><em>d = - 12.6 </em></u>
<u><em></em></u>
10. 8 - 2 ( w + 4 ) = 10
8 + - 2 w + - 8 = 10
-2w + 9 + - 8 = 10
-2w = 10
10 / -2 = -5
<u><em>w = -5</em></u>
