Answer:
2 4/15 pints
Step-by-step explanation:
Caden has 3 2/3 pints of water in a pitcher.
He has 1 2/5 pints of water left in the pitcher.
The amount of water he poured is calculated as
3 2/3 - 1 2/5
3 - 1 + (2/3 - 2/5)
Lowest Common Denominator is 15
2 + (5 × 2 - 3×2/15)
2 + (10 - 6/15)
2 + (4/15)
= 2 4/15 pints
He poured 2 1/15 pints of water.
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
The best thing to do when finding conic equations from the focus and directrix is to sketch a little graph. When you do this, you can easily identify the vertex right in the middle and can determine if the parabola is vertical or horizontal since it must wrap around the focus. This way you know whether the x or the y is squared. When you sketch the focus and directrix, you will see the vertex is at (0,0) and the parabola is sideways, so the y is squared. now remember your formula is y^2=4px where p is the distance from the vertex to the focus, or you could write x=1/(4p)y^2. Now from 0 to -8 is -8 so that means 4p=-32. This gives you y^2=-32x or x=-1/32y^2. Thsi type of question will also be on your module exam and then the final exam so be sure to practice some:)
Answer:
15
Step-by-step explanation:
2r=d
r= radius
d=diameter
diameter :30
2r=30
r=30÷2
= 15
