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:
<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>
Step-by-step explanation:
Suppose, the width of the rectangular tabletop is inch.
As the tabletop has a length that is twice it’s width, so the length will be: inch.
The tabletop measures 76 inches on its diagonal.
<u>Formula for length of diagonal of rectangle</u>:
So, the equation will be..........
Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.
The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.
Answer:
Step-by-step explanation:
Given
Fireplace is in the form of semi-ellipse with height of 3 ft from center
Length of base=8 ft
if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis
2 a =8
a=4 ft
If contractor cover the whole base
then total length of string=2a =8 ft
(b)String should be nailed at focus
focus of ellipse is a e
where e=eccentricity
Focus
Thus string should be nailed at 2.64 m from center