Hi there!
We know that:
Area of a rectangle = l × w
The areas are the same, so:
3x · 4 = 6(3x - 2.5)
Simplify:
12x = 18x - 15
Solve for x:
15 = 6x
x = 2.5
Plug in this value of x to find the perimeter of rectangle B:
P = 2l + 2w
l = 6
w = 3(2.5) - 2.5 = 5
P = 2(6) + 2(5) = 22 cm
F( g( f(x) ) ) = f( g( 2x+1 ) )
= f( 2x+1 -3 )
= f( 2x-2 )
= 2(2x-2) +1
= 4x -4 + 1
= 4x -3
Answer:
15. C. segment AC
16. D. angles ACD and DCE
17. C. substitution
18. C. axiomatic systems
19. A. Axioms
20. D. Defined Terms
Answer: Irrational
Step-by-step explanation:
Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
x = [-5 ± √(25 - (104) ) ] / ( -4 )
x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.
