Given:
The quadratic equation is:


To find:
The value of k and
.
Solution:
We have,
...(i)
Putting
, we get




Putting
in (i), we get

Splitting the middle term, we get




Here,
and
.
Therefore, the required values are
and
.
Answer:
m = -21
Step-by-step explanation:
9+m/3=2
1. Subtract 9 from both sides
9 - 9 + m/3 = 2 - 9
m/3 = -7
2. Multiply both sides by 3
3 (m/3) = -7 (3)
m = -21
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.
The volume of a cone is:

Total volume:

Volume of upper cone:

Volume of frustum:
Answer:
67/5 = 13 2/5
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
An easier way to solve this is by changing the mixed fractions to improper fractions.
To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.
Mixed fraction - a fraction with a whole number.
Improper fraction - a fraction with a numerator larger than the denominator.
Step 2: <u>Solve.</u>


From here, add as usual.

Step 3: <u>Conclude.</u>
You can change the improper fraction to a mixed fraction if you'd like.
To do this, divide the numerator by the denominator.
The amount of times the numerator evenly goes into the denominator is the whole number.
The amount of remaining numbers in the denominator.
The numerator remains the same.

I, therefore, believe the answer to this is 13 2/5.