Subtract 66 from both sides
2x^2+12x -66 = 66-66
2x^2+12x-66= 0
Use quadratic formula with a=2, b=12 , c= -66
x= −b±√b2−4ac2a
x=−(12)±√(12)2−4(2)(−66)2(2)x=−12±√6724x=−3+√42 or x=−3−√42Answer:x=−3+√42 or x=−3−√42
Answer:
5m
Step-by-step explanation:
Given data
Ratio of length to breadth is 5 : 3
hence in fraction form it is 5/3
the breadth of rectangle is 60m
let the length be x
So
5/3= x/3
cross multiply we have
5*3= 3x
15= 3x
divide both sides by 3
x= 15/3
x= 5m
Hence the length is 5m
17 and 7 are the possible values of x that makes up the missing y-value of the coordinates.
The distanceformula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1( 12,8 )
Point 2( x,−4 )
Plug the given values into the distance formula and solve for x.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
13 = √( ( x - 12 )² + ( -4 - 8 )² )
13 = √( ( x - 12 )² + ( -12 )² )
Take the square of both sides
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + 114
( x - 12 )² + 114 = 169
( x - 12 )² = 169 - 114
( x - 12 )² = 25
Take the square root of both sides
x - 12 = ±√25
x - 12 = ±5
x = 12+5, x = 12-5
x = 17, x = 7
Therefore, the possible values of x are 7 and 17.
Learn more about the distance formula here: brainly.com/question/24509115
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Answer:
A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.