Answer:
First we must learn to dissect a question.
<h3>Explanation:</h3>
Part 1
We can list our facts first:
- Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
- She needs 13 dozen cookies
She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons
<h3>Part 2</h3>
She needs 9.75 teaspoons and 3 teaspoons make a tablespoon
So..
Answer:
answer is 347.6
Step-by-step explanation:
21/7300= 347.6
Answer:
False
Step-by-step explanation:
The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).
(6, 4) 4 is one output.
(6, -4) -4 is another output.
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76