Answer:
Step-by-step explanation:
sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct
Brand A:
$2.50 for 2
Brand B :
$3.90 for 3
Brand C:
$5.12 for 4
We calculate the unit price :
Brand A:
$2.50 / 2 = $1.25
Brand B:
$3.90 / 3 = $1.30
Brand C:
$5.12 / 4 = $1.2
Let, length and breadth of rectangle is L and B respectively.
It is given that :
The length rectangle is 4 cm more than 3 times the width of the rectangle.
L = 3B + 4 ......1 )
Also, area of square = area of the rectangle + 66
L² = LB + 66
Putting value of L from
L² = ( 3B + 4 )( B ) + 66
L² = 3B² + 4B + 66
( 3B + 4 )² = 3B² + 4B + 66
9B² + 16 + 24B = 3B² + 4B + 66
6B² + 20B - 50 = 0
3B² + 10B - 25 = 0
3B² + 15B - 5B -25 = 0
3B( B + 5 ) -5( B + 5 ) = 0
B = 5/3 units
L = 3( 5/3 ) + 4
L = 5 + 4 = 9 units
Hence, this is the required solution.
Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees
horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
