The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
Answer:
((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u>
- The slope of the line in the graph is 4.
And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .
<u>Slope</u><u> Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Substituting</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>line </u><u>is </u><u>y </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u>
Step-by-step explanation:
let total pizzas = y
so
32/100 x y = 64
y= 64× 100/32
= 200 pizzas
Hello there! n < -2.
Solve for n. To do this, you want to get all other terms on the other side of the equation. The only other term is 7 in this case, so subtract 7 from both sides of the equation.
n +7-7< 5-7
n < -2
This is your final answer! I hope this helps and have a great day!
