We have that
y = −14x² − 2x − 2
First, we need to transform the equation into its vertex form
(x - h)²=4p(y - k)
<span>Group
terms that contain the same variable
</span>y = (−14x² − 2x )− 2
<span>Factor the
leading coefficient
</span>y = -14*(x² + (2/14)x )− 2
<span>Complete
the square Remember to balance the equation
</span>y = -14*(x² + (2/14)x +(2/28)²-(2/28)²)− 2
y = -14*(x² + (2/14)x +(2/28)²)− 2+14*(2/28)²
y = -14*(x² + (2/14)x +(2/28)²)− 2+56/784
Rewrite as perfect squares
y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)
4p=-1/14------> p=-1/56
This is a vertical parabola and its focus <span>(h, k + p)</span>
<span>h=-1/14</span>
<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>
<span>
</span>
<span>the focus is</span>
<span>(-1/14,-1526/784)</span>
Answer:
B
Step-by-step explanation:
hard to explain xD
It should be y=x Good luck!
Answer:
t - 4 ≤ 4
Step-by-step explanation:
Hi I really need help with this
The number line represents t ≤ 8
Since the line is on 8 and moving towards the negative part of the number like (less than)
The equivalent equation will be;
t - 4 ≤ 4
Ads 4 to both sides
t-4+4≤4+4
t ≤ 8
Since the solution is similar to the expression above hence t - 4 ≤ 4 is correct
Answer:
Please help with these few questions
6. Use the picture to find the following angle measures.
9. Write a two -column proof for the following :
Given: angle1 and angle2 form a linear pair and m angle1= 2(m angle2)
Prove : m angle2 =60
10. Write a two-column proof for the following:
Given : AB = CD , AB = 4x + 1, and CD = 6x - 13
Prove: x = 7
Step-by-step explanation:
Please help with these few questions
6. Use the picture to find the following angle measures.
9. Write a two -column proof for the following :
Given: angle1 and angle2 form a linear pair and m angle1= 2(m angle2)
Prove : m angle2 =60
10. Write a two-column proof for the following:
Given : AB = CD , AB = 4x + 1, and CD = 6x - 13
Prove: x = 7