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:
x=7
Step-by-step explanation:
You
Have
X-ray
Vision
YhXr
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒ 
⇒ 
⇒ 
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are 
and 
.
Then, the factorized form of the polynomial is: 
.
The, the solution to the system of equations is: and .
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set
for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance
between the y-axis
and the curve
. In terms of
, this distance is
. The height of each cross section is twice the value of
, so the area of each rectangular cross section should be
.
This means the volume would be given by the integral
Answer:
1. 75%
2. 20%
3. 20%
4. decrease 5.4%
Step-by-step explanation:
1. 119-68=51, 51/68=0.75
2. 30-24=6, 6/30=0.20
3. 18-15=3, 3/15=0.20
4. 762-721=41, 41/762=0.0538
