Answer:
Base on the vertex (h, k) and the distance p between vertex and directrix, the standard form of parabola is written as:
(x – h)^2 = 4*p(y – k)
We have (-1, -5) as vertex.
=> (x + 1)^2 = 4*p(y + 5)
Now, we find p:
The distance between (-1, -5) and x = -7 is calculated by:
|-1 -(-7)| = |6| = 6
=> (x + 1)^2 = 4*6(y + 5)
=> (x + 1)^2 = 24(y + 5)
Hope this helps!
:)
Answer:
Yes
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula:
Where (x₁, y₁) and (x₂, y₂) are two, separate points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute them into the slope formula to get:
Subtract:
Hence, our slope is -2.
So, our answer is C.
Answer:
Total pints of cream will they need for the pasta = 7 pints
Step-by-step explanation:
Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.
To find - How many more pints of cream will they need for the pasta?
Solution -
10 people = 3 cups of cream
⇒80 people = 8×3 = 24 cups of cream
Now,
We know that,
1 cup = 0.5 pints
⇒24 cup = 24×0.5 = 12 pints.
Now,
Given that, The restaurant already has 5 pints of cream in the fridge.
So,
Total pints more needed = 12 - 5 = 7 pints.
∴ we get
Total pints of cream will they need for the pasta = 7 pints
